Prime p₀= 947712739189126607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 46 2 10 2 28 2 166 2 (?)
a_n: 0 2 30 32 54 56 102 104 114 116 144 146 312 314
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: 314
Found by: stoneageman
db: batch=76, k=14, 28 22 46 10 28 166

SPT(16)	947711990496405931	0 18 40 46 58 96 102 118 150 166 172 210 222 228 250 268	-748692720676
STPT(10)	947712015412842917	0 2 30 32 42 44 54 56 84 86	-723776283690
SPT(16)	947712022300399271	0 18 26 32 56 68 116 128 180 192 240 252 276 282 290 308	-716888727336
SPT(16)	947712295272384773	0 14 24 98 126 140 150 174 260 284 294 308 336 410 420 434	-443916741834
STPT(10)	947712308214239831	0 2 6 8 48 50 90 92 96 98	-430974886776
TPT(14)	947712586036045721	0 2 108 110 210 212 216 218 300 302 336 338 348 350	-153153080886
SPT(13)	947713025932848377	0 42 60 66 72 96 126 156 180 186 192 210 252	286743721770
STPT(10)	947713476572745479	0 2 42 44 60 62 78 80 120 122	737383618872
SPT(16)	947713743184413451	0 12 16 28 82 100 112 126 142 156 168 186 240 252 256 268	1003995286844
STPT(10)	947713794045051767	0 2 30 32 42 44 54 56 84 86	1054855925160
STPT(10)	947714115649278779	0 2 42 44 90 92 138 140 180 182	1376460152172