Prime p₀= 3011106857762895569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 76 2 52 2 46 2 10 2 (?)
a_n: 0 2 18 20 60 62 138 140 192 194 240 242 252 254
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: 254
Found by: [SG-FC] hl
db: batch=82, k=14, 16 40 76 52 46 10

SPT(16)	3011104510689568987	0 16 24 40 70 72 82 96 100 114 124 126 156 172 180 196	-2347073326582
STPT(10)	3011104624461511577	0 2 24 26 42 44 60 62 84 86	-2233301383992
STPT(10)	3011104900343381687	0 2 24 26 42 44 60 62 84 86	-1957419513882
SPT(16)	3011105770938407839	0 22 42 60 64 82 112 120 124 132 162 180 184 202 222 244	-1086824487730
SPT(16)	3011106310959092399	0 20 72 74 114 120 132 140 162 170 182 188 228 230 282 302	-546803803170
STPT(10)	3011106412734778859	0 2 48 50 90 92 132 134 180 182	-445028116710
TPT(14)	3011106859368062549	0 2 78 80 120 122 150 152 210 212 330 332 360 362	1605166980
SPT(16)	3011106992331128843	0 6 26 54 60 78 120 140 144 164 206 224 230 258 278 284	134568233274
STPT(10)	3011107528109222207	0 2 30 32 42 44 54 56 84 86	670346326638
SPT(16)	3011107835502120559	0 72 78 100 108 130 142 210 220 288 300 322 330 352 358 430	977739224990
STPT(10)	3011107918172316041	0 2 30 32 78 80 126 128 156 158	1060409420472