Prime p₀= 1028497634409158687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 28 2 16 2 22 2 16 2 (?)
a_n: 0 2 12 14 42 44 72 74 90 92 114 116 132 134
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: 134
Found by: stoneageman
db: batch=76, k=14, 10 28 28 16 22 16

SPT(16)	1028496512425578551	0 6 102 122 132 182 210 216 242 248 276 326 336 356 452 458	-1121983580136
TPT(14)	1028496572854020251	0 2 48 50 90 92 126 128 198 200 216 218 246 248	-1061555138436
SPT(16)	1028497118145156103	0 36 90 124 166 198 204 208 276 280 286 318 360 394 448 484	-516264002584
SPT(16)	1028497361288918947	0 4 60 84 90 112 130 132 154 156 174 196 202 226 282 286	-273120239740
SPT(16)	1028497407594820837	0 16 36 60 70 154 160 172 174 186 192 276 286 310 330 346	-226814337850
STPT(10)	1028497468921603661	0 2 36 38 78 80 120 122 156 158	-165487555026
SPT(16)	1028497652480983019	0 2 54 74 132 140 168 170 282 284 312 320 378 398 450 452	18071824332
STPT(10)	1028497687807222067	0 2 30 32 42 44 54 56 84 86	53398063380
TPT(14)	1028497705363548221	0 2 6 8 18 20 90 92 156 158 240 242 300 302	70954389534
STPT(10)	1028497737668920661	0 2 6 8 18 20 30 32 36 38	103259761974
SPT(16)	1028497970628796883	0 26 54 90 96 140 168 224 270 326 354 398 404 440 468 494	336219638196