Prime p₀= 945324338955002441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 28 2 46 2 22 2 16 2 (?)
a_n: 0 2 30 32 78 80 108 110 156 158 180 182 198 200
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: 200
Found by: Theadalus
db: batch=76, k=14, 28 46 28 46 22 16

SPT(16)	945323449163633431	0 12 30 40 42 100 132 160 162 190 222 280 282 292 310 322	-889791369010
STPT(10)	945323486766001097	0 2 60 62 72 74 84 86 144 146	-852189001344
SPT(16)	945323529307456787	0 24 50 80 116 126 174 176 360 362 410 420 456 486 512 536	-809647545654
SPT(16)	945323695904095049	0 24 44 78 92 104 138 150 152 164 198 210 224 258 278 302	-643050907392
SPT(16)	945323915765728753	0 16 24 28 46 88 130 150 154 174 216 258 276 280 288 304	-423189273688
SPT(16)	945324138383218427	0 14 56 96 120 126 140 204 212 276 290 296 320 360 402 416	-200571784014
SPT(16)	945325284622482067	0 16 30 52 66 76 106 142 174 210 240 250 264 286 300 316	945667479626
SPT(16)	945325346662063723	0 16 48 58 94 100 108 166 168 226 234 240 276 286 318 334	1007707061282
STPT(10)	945325473868944209	0 2 18 20 30 32 42 44 60 62	1134913941768
SPT(16)	945325867057930991	0 50 72 80 90 152 162 168 260 266 276 338 348 356 378 428	1528102928550
STPT(10)	945326042767856987	0 2 12 14 42 44 72 74 84 86	1703812854546