Prime p₀= 2738109867691813541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 22 2 16 2 10 2 88 2 4 2 (?)
a_n: 0 2 66 68 90 92 108 110 120 122 210 212 216 218
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: 218
Found by: JayPi
db: batch=82, k=14, 64 22 16 10 88 4

SPT(16)	2738108203808648261	0 8 38 110 126 128 240 276 320 356 468 470 486 558 588 596	-1663883165280
STPT(10)	2738108763438928727	0 2 12 14 42 44 72 74 84 86	-1104252884814
SPT(16)	2738108853784048201	0 6 30 58 100 108 118 132 136 150 160 168 210 238 262 268	-1013907765340
STPT(10)	2738108940880561667	0 2 12 14 42 44 72 74 84 86	-926811251874
TPT(14)	2738109517021032587	0 2 12 14 102 104 234 236 240 242 294 296 312 314	-350670780954
SPT(16)	2738109821679769319	0 32 104 128 170 180 188 194 228 234 242 252 294 318 390 422	-46012044222
SPT(16)	2738109867896538679	0 12 34 48 88 118 124 174 208 258 264 294 334 348 370 382	204725138
SPT(16)	2738109912538485557	0 44 56 66 72 102 114 144 182 212 224 254 260 270 282 326	44846672016
SPT(16)	2738109920578547129	0 2 20 30 42 60 62 80 90 108 110 128 140 150 168 170	52886733588
SPT(16)	2738110297661998169	0 30 32 50 78 80 92 120 122 150 162 164 192 210 212 242	429970184628
SPT(16)	2738111004798250327	0 12 24 30 36 46 52 72 94 114 120 130 136 142 154 166	1137106436786