Prime p₀= 774996792083067527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 28 2 100 2 40 2 328 2 154 2 (?)
a_n: 0 2 120 122 150 152 252 254 294 296 624 626 780 782
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: 782
Found by: jozef j
db: batch=73, k=14, 118 28 100 40 328 154

STPT(10)	774995769588437741	0 2 36 38 78 80 120 122 156 158	-1022494629786
SPT(16)	774995860622679721	0 18 42 46 70 72 76 88 240 252 256 258 282 286 310 328	-931460387806
STPT(10)	774995994130435421	0 2 36 38 78 80 120 122 156 158	-797952632106
STPT(10)	774996239019506549	0 2 48 50 90 92 132 134 180 182	-553063560978
STPT(10)	774996507564639317	0 2 24 26 42 44 60 62 84 86	-284518428210
SPT(16)	774996690579485323	0 36 48 60 136 148 166 210 256 300 318 330 406 418 430 466	-101503582204
STPT(10)	774997115347141439	0 2 18 20 30 32 42 44 60 62	323264073912
SPT(16)	774997238730796787	0 30 54 80 122 164 210 216 290 296 342 384 426 452 476 506	446647729260
SPT(16)	774998042769467849	0 8 38 50 62 80 92 122 138 168 180 198 210 222 252 260	1250686400322
SPT(16)	774999062212485323	0 56 96 98 104 108 146 156 188 198 236 240 246 248 288 344	2270129417796
SPT(16)	774999184587088759	0 58 78 90 114 132 168 174 238 244 280 298 322 334 354 412	2392504021232