Prime p₀= 2255368485823596257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 82 2 88 2 34 2 10 2 16 2 (?)
a_n: 0 2 30 32 114 116 204 206 240 242 252 254 270 272
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: 272
Found by: JayPi
db: batch=81, k=14, 28 82 88 34 10 16

STPT(10)	2255367165555428777	0 2 30 32 72 74 114 116 144 146	-1320268167480
TPT(14)	2255367434946211499	0 2 12 14 42 44 90 92 138 140 222 224 240 242	-1050877384758
TPT(14)	2255367528410771039	0 2 18 20 72 74 108 110 192 194 198 200 222 224	-957412825218
SPT(16)	2255367867087161413	0 10 34 70 124 126 138 160 234 256 268 270 324 360 384 394	-618736434844
STPT(10)	2255368017828177137	0 2 12 14 42 44 72 74 84 86	-467995419120
SPT(16)	2255368478382382709	0 2 62 80 132 152 164 170 192 198 210 230 282 300 360 362	-7441213548
STPT(10)	2255369549403350489	0 2 48 50 90 92 132 134 180 182	1063579754232
SPT(16)	2255369941342171931	0 128 158 168 170 176 200 212 216 228 252 258 260 270 300 428	1455518575674
SPT(16)	2255370260986071847	0 10 72 90 94 100 114 256 300 442 456 462 466 484 546 556	1775162475590
SPT(16)	2255370370131568499	0 24 68 84 108 164 174 182 270 278 288 344 368 384 428 452	1884307972242
STPT(10)	2255370519085786931	0 2 6 8 48 50 90 92 96 98	2033262190674