Prime p₀= 1524335625627990011 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 28 2 40 2 10 2 94 2 58 2 (?)
a_n: 0 2 126 128 156 158 198 200 210 212 306 308 366 368
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: 368
Found by: crashtech
db: batch=78, k=14, 124 28 40 10 94 58

STPT(10)	1524334711765073309	0 2 12 14 90 92 168 170 180 182	-913862916702
SPT(16)	1524334784932462817	0 2 14 32 56 72 114 144 152 182 224 240 264 282 294 296	-840695527194
STPT(10)	1524335020007451857	0 2 30 32 102 104 174 176 204 206	-605620538154
SPT(16)	1524335139978674077	0 6 40 54 60 64 70 120 136 186 192 196 202 216 250 256	-485649315934
SPT(16)	1524335167023700189	0 132 138 198 208 222 228 270 280 322 328 342 352 412 418 550	-458604289822
STPT(10)	1524335444284409831	0 2 6 8 48 50 90 92 96 98	-181343580180
STPT(10)	1524335708958968369	0 2 48 50 60 62 72 74 120 122	83330978358
SPT(16)	1524336008023227697	0 4 12 36 42 64 70 82 84 96 102 124 130 154 162 166	382395237686
SPT(16)	1524336171421740361	0 10 16 28 90 132 136 192 226 282 286 328 390 402 408 418	545793750350
STPT(12)	1524336290515279457	0 2 12 14 30 32 54 56 72 74 84 86	664887289446
STPT(10)	1524336543962931689	0 2 48 50 90 92 132 134 180 182	918334941678