Prime p₀= 2539225927215525701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 34 2 10 2 16 2 10 2 (?)
a_n: 0 2 30 32 60 62 96 98 108 110 126 128 138 140
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: 140
Found by: Penguin
db: batch=82, k=14, 28 28 34 10 16 10

SPT(16)	2539224566247833413	0 10 78 138 160 190 196 208 258 270 276 306 328 388 456 466	-1360967692288
SPT(16)	2539224762993601363	0 28 58 88 108 126 178 228 286 336 388 406 426 456 486 514	-1164221924338
SPT(16)	2539224860036391001	0 12 40 52 66 88 90 160 228 298 300 322 336 348 376 388	-1067179134700
STPT(10)	2539224986683180919	0 2 12 14 30 32 48 50 60 62	-940532344782
STPT(12)	2539225148011347977	0 2 42 44 60 62 192 194 210 212 252 254	-779204177724
SPT(16)	2539225247031011491	0 12 42 106 108 138 148 168 190 210 220 250 252 316 346 358	-680184514210
SPT(16)	2539226023948154363	0 84 86 96 114 170 188 216 218 246 264 320 338 348 350 434	96732628662
SPT(16)	2539226872005936709	0 22 24 58 60 94 102 112 150 160 168 202 204 238 240 262	944790411008
STPT(10)	2539227399147375647	0 2 60 62 72 74 84 86 144 146	1471931849946
SPT(16)	2539227409869642269	0 42 50 72 110 120 128 138 152 162 170 180 218 240 248 290	1482654116568
SPT(16)	2539227683814129643	0 4 24 40 76 96 136 150 154 168 208 228 264 280 300 304	1756598603942