Prime p₀= 1379468758123333727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 34 2 88 2 40 2 28 2 (?)
a_n: 0 2 24 26 54 56 90 92 180 182 222 224 252 254
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: Theadalus
db: batch=77, k=14, 22 28 34 88 40 28

STPT(10)	1379466563829039899	0 2 12 14 90 92 168 170 180 182	-2194294293828
SPT(16)	1379466596382866867	0 14 36 50 54 72 84 96 110 122 134 152 156 170 192 206	-2161740466860
SPT(18)	1379466645667707979	0 48 72 90 142 210 222 240 280 342 382 400 412 480 532 550 574 622	-2112455625748
SPT(16)	1379467104226066403	0 6 36 48 60 98 104 108 116 120 126 164 176 188 218 224	-1653897267324
SPT(16)	1379467877139241801	0 10 42 52 60 108 118 132 148 162 172 220 228 238 270 280	-880984091926
SPT(16)	1379468555868628847	0 6 20 30 32 44 72 86 240 254 282 294 296 306 320 326	-202254704880
STPT(10)	1379468853203568269	0 2 18 20 30 32 42 44 60 62	95080234542
SPT(16)	1379468935578096197	0 14 44 72 90 104 150 186 230 266 312 326 344 372 402 416	177454762470
STPT(10)	1379469015798859157	0 2 12 14 42 44 72 74 84 86	257675525430
SPT(16)	1379469397241286889	0 24 28 30 70 72 88 94 108 114 130 132 172 174 178 202	639117953162
STPT(10)	1379469422287602011	0 2 36 38 78 80 120 122 156 158	664164268284