Prime p₀= 813681395537598557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 10 2 64 2 112 2 4 2 (?)
a_n: 0 2 90 92 102 104 114 116 180 182 294 296 300 302
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: 302
Found by: amazing
db: batch=73, k=14, 88 10 10 64 112 4

STPT(10)	813681144387452387	0 2 12 14 72 74 132 134 144 146	-251150146170
STPT(10)	813681166803833057	0 2 30 32 72 74 114 116 144 146	-228733765500
STPT(10)	813681203842021127	0 2 30 32 42 44 54 56 84 86	-191695577430
STPT(10)	813681275562807647	0 2 30 32 72 74 114 116 144 146	-119974790910
SPT(16)	813681329504397659	0 8 44 50 54 68 78 158 180 260 270 284 288 294 330 338	-66033200898
SPT(16)	813681341347245389	0 2 18 42 62 72 98 132 140 174 200 210 230 254 270 272	-54190353168
STPT(10)	813681543619037801	0 2 36 38 78 80 120 122 156 158	148081439244
SPT(16)	813681563026694863	0 18 28 40 48 90 106 120 124 138 154 196 204 216 226 244	167489096306
STPT(10)	813681790371209327	0 2 12 14 42 44 72 74 84 86	394833610770
SPT(16)	813682225590163393	0 6 10 28 36 48 90 100 126 136 178 190 198 216 220 226	830052564836
STPT(10)	813682382953636319	0 2 12 14 30 32 48 50 60 62	987416037762