Prime p₀= 2616881509230975557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 130 2 106 2 28 2 76 2 (?)
a_n: 0 2 30 32 42 44 174 176 282 284 312 314 390 392
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: 392
Found by: fzs600
db: batch=82, k=14, 28 10 130 106 28 76

SPT(16)	2616880066633079777	0 6 66 80 96 104 110 122 204 216 222 230 246 260 320 326	-1442597895780
SPT(16)	2616880189995804413	0 14 24 30 50 74 80 120 128 168 174 198 218 224 234 248	-1319235171144
SPT(16)	2616880395763919473	0 34 66 70 94 108 136 156 178 198 226 240 264 268 300 334	-1113467056084
SPT(16)	2616880808378546681	0 60 80 90 108 116 126 138 200 212 222 230 248 258 278 338	-700852428876
SPT(16)	2616881215148921327	0 12 24 50 96 102 110 122 204 216 224 230 276 302 314 326	-294082054230
STPT(10)	2616881477703613187	0 2 60 62 72 74 84 86 144 146	-31527362370
SPT(16)	2616881726503930091	0 6 20 78 120 122 138 182 246 290 306 308 350 408 422 428	217272954534
SPT(16)	2616882667458019091	0 8 42 80 120 138 140 176 192 228 230 248 288 326 360 368	1158227043534
TPT(14)	2616882895707538457	0 2 30 32 102 104 150 152 192 194 270 272 294 296	1386476562900
STPT(10)	2616882918573678707	0 2 30 32 42 44 54 56 84 86	1409342703150
SPT(16)	2616883020554564561	0 38 42 48 60 62 90 98 192 200 228 230 242 248 252 290	1511323589004