Prime p₀= 1269058289043745049 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 16 2 10 2 10 2 124 2 (?)
a_n: 0 2 42 44 90 92 108 110 120 122 132 134 258 260
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: 260
Found by: mikey
db: batch=77, k=14, 40 46 16 10 10 124

SPT(16)	1269056144941598719	0 60 72 124 142 222 252 280 294 322 352 432 450 502 514 574	-2144102146330
SPT(16)	1269056336580540611	0 8 26 78 80 98 138 162 206 230 270 288 290 342 360 368	-1952463204438
SPT(16)	1269056432905638233	0 24 26 68 84 108 138 150 224 236 266 290 306 348 350 374	-1856138106816
STPT(10)	1269057678736237211	0 2 6 8 48 50 90 92 96 98	-610307507838
TPT(14)	1269057960753697547	0 2 12 14 42 44 102 104 222 224 234 236 294 296	-328290047502
SPT(16)	1269058038677653573	0 16 30 60 88 144 156 178 216 238 250 306 334 364 378 394	-250366091476
SPT(16)	1269058502427082667	0 44 60 84 102 104 146 152 174 180 222 224 242 266 282 326	213383337618
STPT(10)	1269059328116286167	0 2 24 26 42 44 60 62 84 86	1039072541118
STPT(10)	1269059384339590577	0 2 24 26 42 44 60 62 84 86	1095295845528
SPT(16)	1269059806231076161	0 40 46 70 96 106 112 126 142 156 162 172 198 222 228 268	1517187331112
STPT(10)	1269059821236335927	0 2 30 32 42 44 54 56 84 86	1532192590878