Prime p₀= 2523252592333236719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 88 2 40 2 40 2 4 2 52 2 (?)
a_n: 0 2 48 50 138 140 180 182 222 224 228 230 282 284
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: 284
Found by: RFGuy_KCCO
db: batch=82, k=14, 46 88 40 40 4 52

SPT(16)	2523250890687380563	0 36 40 78 84 94 108 118 156 166 180 190 196 234 238 274	-1701645856156
TPT(14)	2523251102816852687	0 2 30 32 42 44 102 104 144 146 180 182 234 236	-1489516384032
TPT(14)	2523251298075873809	0 2 12 14 138 140 210 212 288 290 318 320 342 344	-1294257362910
STPT(10)	2523251604243509351	0 2 36 38 78 80 120 122 156 158	-988089727368
STPT(10)	2523252453894539837	0 2 30 32 42 44 54 56 84 86	-138438696882
SPT(16)	2523252531809086573	0 28 48 58 108 124 136 156 178 198 210 226 276 286 306 334	-60524150146
SPT(16)	2523253138337443847	0 2 30 60 86 96 126 140 186 200 230 240 266 296 324 326	546004207128
SPT(16)	2523253206336838879	0 4 30 72 82 114 168 192 310 334 388 420 430 472 498 502	614003602160
SPT(16)	2523253973378259593	0 38 80 104 108 120 138 170 174 206 224 236 240 264 306 344	1381045022874
SPT(13)	2523254289845323901	0 18 48 72 102 132 150 168 198 228 252 282 300	1697512087182
SPT(16)	2523254360722769939	0 2 12 62 80 104 182 192 212 222 300 324 342 392 402 404	1768389533220