Prime p₀= 976837849306316147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 52 2 76 2 130 2 4 2 10 2 (?)
a_n: 0 2 120 122 174 176 252 254 384 386 390 392 402 404
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: 404
Found by: vinn@[CNT]
db: batch=76, k=14, 118 52 76 130 4 10

STPT(10)	976837336648041731	0 2 36 38 78 80 120 122 156 158	-512658274416
STPT(10)	976837387034608751	0 2 36 38 78 80 120 122 156 158	-462271707396
STPT(10)	976837545364371917	0 2 30 32 72 74 114 116 144 146	-303941944230
SPT(16)	976837744067123017	0 16 34 94 112 120 136 160 186 210 226 234 252 312 330 346	-105239193130
SPT(16)	976837791080921227	0 22 40 82 84 106 142 156 160 174 210 232 234 276 294 316	-58225394920
STPT(10)	976837795458955889	0 2 18 20 30 32 42 44 60 62	-53847360258
SPT(16)	976837945877022877	0 60 76 90 102 130 172 292 300 420 462 490 502 516 532 592	96570706730
SPT(16)	976838038894837909	0 10 28 34 72 108 132 154 258 280 304 340 378 384 402 412	189588521762
SPT(16)	976838106932581367	0 12 42 80 84 90 102 152 174 224 236 242 246 284 314 326	257626265220
SPT(13)	976838202688537391	0 30 42 60 66 96 126 156 186 192 210 222 252	353382221244
SPT(16)	976838322367252967	0 6 42 44 56 74 114 144 182 212 252 270 282 284 320 326	473060936820