Prime p₀= 2566047628511193509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 40 2 10 2 34 2 28 2 (?)
a_n: 0 2 42 44 48 50 90 92 102 104 138 140 168 170
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: [SG-FC] hl
db: batch=82, k=14, 40 4 40 10 34 28

SPT(16)	2566046118760687051	0 16 40 88 126 130 186 216 220 250 306 310 348 396 420 436	-1509750506458
SPT(16)	2566046128550448559	0 22 28 64 70 100 120 124 138 142 162 192 198 234 240 262	-1499960744950
SPT(16)	2566046515279679981	0 8 38 72 108 138 222 240 260 278 362 392 428 462 492 500	-1113231513528
SPT(16)	2566047424762531529	0 8 14 18 72 98 102 144 218 260 264 290 344 348 354 362	-203748661980
SPT(16)	2566047552052900439	0 2 18 20 30 68 72 80 132 140 144 182 192 194 210 212	-76458293070
SPT(16)	2566047620114401153	0 34 54 70 78 90 124 156 208 240 274 286 294 310 330 364	-8396792356
SPT(16)	2566047691422436957	0 16 36 60 120 124 126 130 180 184 186 190 250 274 294 310	62911243448
SPT(16)	2566047997129616761	0 82 102 112 136 186 220 222 310 312 346 396 420 430 450 532	368618423252
STPT(12)	2566048476266927849	0 2 42 44 162 164 168 170 288 290 330 332	847755734340
TPT(14)	2566048498226006537	0 2 72 74 102 104 120 122 174 176 204 206 240 242	869714813028
SPT(16)	2566048546012374859	0 18 52 60 78 88 148 154 168 174 234 244 262 270 304 322	917501181350