Prime p₀= 760206372896214059 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 10 2 76 2 28 2 58 2 (?)
a_n: 0 2 12 14 48 50 60 62 138 140 168 170 228 230
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: 230
Found by: GLeeM
db: batch=73, k=14, 10 34 10 76 28 58

SPT(16)	760205779428172501	0 6 76 132 162 198 216 246 322 352 370 406 436 492 562 568	-593468041558
SPT(16)	760205896513924639	0 4 10 30 78 88 100 120 142 162 174 184 232 252 258 262	-476382289420
STPT(10)	760206053858836139	0 2 18 20 60 62 102 104 120 122	-319037377920
SPT(16)	760206083985921401	0 20 38 108 170 182 188 210 218 240 246 258 320 390 408 428	-288910292658
STPT(10)	760206131730367037	0 2 60 62 72 74 84 86 144 146	-241165847022
SPT(18)	760206187585992001	0 10 12 46 60 72 106 126 142 150 166 186 220 232 246 280 282 292	-185310222058
STPT(10)	760206445041046181	0 2 6 8 48 50 90 92 96 98	72144832122
SPT(16)	760206686468532089	0 14 20 50 54 78 90 98 120 128 140 164 168 198 204 218	313572318030
SPT(16)	760206704731499747	0 2 12 42 56 96 120 194 222 296 320 360 374 404 414 416	331835285688
STPT(10)	760207123728178727	0 2 42 44 72 74 102 104 144 146	750831964668
STPT(10)	760207351178580761	0 2 30 32 78 80 126 128 156 158	978282366702