Prime p₀= 928654457514376337 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 88 2 28 2 88 2 10 2 (?)
a_n: 0 2 24 26 42 44 132 134 162 164 252 254 264 266
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: 266
Found by: arkiss
db: batch=76, k=14, 22 16 88 28 88 10

SPT(16)	928653042374099527	0 36 60 102 106 136 144 172 174 202 210 240 244 286 310 346	-1415140276810
STPT(10)	928653485036051189	0 2 48 50 60 62 72 74 120 122	-972478325148
SPT(16)	928653538036697591	0 42 68 86 98 108 138 152 156 170 200 210 222 240 266 308	-919477678746
SPT(16)	928653911287928851	0 6 12 28 60 100 132 142 156 166 198 238 270 286 292 298	-546226447486
STPT(10)	928654218290961707	0 2 30 32 42 44 54 56 84 86	-239223414630
SPT(16)	928654280508936407	0 12 20 54 122 132 194 206 210 222 284 294 362 396 404 416	-177005439930
SPT(16)	928654824823019293	0 10 54 76 114 126 138 150 244 256 268 280 318 340 384 394	367308642956
SPT(16)	928654856926583167	0 52 66 82 84 96 120 132 184 196 220 232 234 250 264 316	399412206830
SPT(20)	928655179527776123	0 38 98 170 180 224 236 254 264 288 296 320 330 348 360 404 414 486 546 584	722013399786
SPT(16)	928655390485089851	0 2 12 20 56 68 90 96 122 128 150 162 198 206 216 218	932970713514
STPT(10)	928655419865192231	0 2 36 38 78 80 120 122 156 158	962350815894