Prime p₀= 1976659502581280579 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 40 2 106 2 28 2 10 2 (?)
a_n: 0 2 30 32 60 62 102 104 210 212 240 242 252 254
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: 254
Found by: Orange Kid
db: batch=80, k=14, 28 28 40 106 28 10

SPT(16)	1976657590979316893	0 60 114 198 216 228 230 260 264 294 296 308 326 410 464 524	-1911601963686
SPT(16)	1976657967831164567	0 26 32 42 60 110 122 152 264 294 306 356 374 384 390 416	-1534750116012
STPT(10)	1976658171159521621	0 2 30 32 78 80 126 128 156 158	-1331421758958
TPT(14)	1976658265227673847	0 2 30 32 54 56 72 74 84 86 204 206 252 254	-1237353606732
STPT(10)	1976658839489065397	0 2 12 14 42 44 72 74 84 86	-663092215182
SPT(16)	1976658843989315641	0 18 96 106 148 150 166 178 198 210 226 228 270 280 358 376	-658591964938
TPT(16)	1976659637357691017	0 2 54 56 114 116 144 146 174 176 252 254 312 314 342 344	134776410438
SPT(16)	1976660068008244571	0 36 60 78 108 140 200 248 288 336 396 428 458 476 500 536	565426963992
SPT(16)	1976660101086874451	0 8 56 96 98 128 146 152 156 162 180 210 212 252 300 308	598505593872
STPT(10)	1976660297845012667	0 2 24 26 42 44 60 62 84 86	795263732088
STPT(10)	1976660533355415239	0 2 48 50 90 92 132 134 180 182	1030774134660