Prime p₀= 2906571869776969661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 70 2 4 2 10 2 (?)
a_n: 0 2 36 38 66 68 78 80 150 152 156 158 168 170
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 170
Found by: Landjunge
db: batch=82, k=14, 34 28 10 70 4 10

SPT(16)	2906570774174787319	0 4 54 90 108 132 208 228 244 264 340 364 382 418 468 472	-1095602182342
STPT(10)	2906570886593921621	0 2 6 8 48 50 90 92 96 98	-983183048040
SPT(16)	2906571018220246511	0 2 32 50 56 96 98 122 156 180 182 222 228 246 276 278	-851556723150
SPT(16)	2906571090367445647	0 16 24 46 66 90 94 100 126 132 136 160 180 202 210 226	-779409524014
SPT(16)	2906571217492156199	0 14 38 62 68 102 104 140 192 228 230 264 270 294 318 332	-652284813462
SPT(20)	2906571659396166079	0 10 42 52 120 132 154 184 208 220 222 234 258 288 310 322 390 400 432 442	-210380803582
SPT(16)	2906572683117734791	0 12 28 40 58 72 96 102 136 142 166 180 198 210 226 238	813340765130
SPT(16)	2906572866562175939	0 72 90 98 102 128 134 140 162 168 174 200 204 212 230 302	996785206278
TPT(14)	2906573907641226071	0 2 6 8 96 98 138 140 186 188 198 200 210 212	2037864256410
SPT(18)	2906573949777456019	0 10 54 78 90 94 112 130 180 202 252 270 288 292 304 328 372 382	2080000486358
SPT(18)	2906574478894523179	0 22 78 84 94 112 114 130 142 240 252 268 270 288 298 304 360 382	2609117553518