Prime p₀= 925197012475065719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 82 2 76 2 58 2 40 2 (?)
a_n: 0 2 42 44 48 50 132 134 210 212 270 272 312 314
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: Theadalus
db: batch=76, k=14, 40 4 82 76 58 40

SPT(16)	925196602251512867	0 26 56 72 92 104 122 176 210 264 282 294 314 330 360 386	-410223552852
SPT(16)	925196620058405161	0 10 22 70 82 126 132 136 162 166 172 216 228 276 288 298	-392416660558
STPT(10)	925196709762031937	0 2 24 26 42 44 60 62 84 86	-302713033782
SPT(16)	925196834306632267	0 6 24 34 52 64 90 94 102 106 132 144 162 172 190 196	-178168433452
STPT(10)	925196962521202697	0 2 42 44 72 74 102 104 144 146	-49953863022
STPT(10)	925196998874538029	0 2 12 14 90 92 168 170 180 182	-13600527690
STPT(10)	925197067330249499	0 2 30 32 60 62 90 92 120 122	54855183780
SPT(16)	925197111445993229	0 12 42 44 62 72 84 98 174 188 200 210 228 230 260 272	98970927510
STPT(10)	925197671005999187	0 2 24 26 42 44 60 62 84 86	658530933468
STPT(10)	925197796613380481	0 2 36 38 78 80 120 122 156 158	784138314762
STPT(10)	925198251711359081	0 2 30 32 78 80 126 128 156 158	1239236293362