Prime p₀= 957072774848878739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 22 2 94 2 10 2 46 2 (?)
a_n: 0 2 60 62 78 80 102 104 198 200 210 212 258 260
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: 260
Found by: Theadalus
db: batch=76, k=14, 58 16 22 94 10 46

SPT(16)	957072258448759891	0 18 78 106 166 208 246 268 270 292 330 372 432 460 520 538	-516400118848
SPT(16)	957072268975007807	0 32 42 72 84 90 110 146 150 186 206 212 224 254 264 296	-505873870932
STPT(10)	957072279022779221	0 2 30 32 78 80 126 128 156 158	-495826099518
STPT(10)	957072299355123737	0 2 30 32 120 122 210 212 240 242	-475493755002
SPT(16)	957072422959751089	0 24 34 70 78 90 138 168 214 244 292 304 312 348 358 382	-351889127650
STPT(10)	957072734562228371	0 2 6 8 48 50 90 92 96 98	-40286650368
STPT(10)	957072796805628047	0 2 30 32 42 44 54 56 84 86	21956749308
STPT(10)	957072896810817287	0 2 54 56 72 74 90 92 144 146	121961938548
TPT(14)	957073271515023029	0 2 12 14 90 92 180 182 210 212 288 290 360 362	496666144290
SPT(16)	957073433197232641	0 6 16 36 52 66 70 72 76 78 82 96 112 132 142 148	658348353902
TPT(14)	957073478459586281	0 2 6 8 120 122 138 140 210 212 288 290 330 332	703610707542