Prime p₀= 2513567819350797239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 40 2 106 2 10 2 4 2 (?)
a_n: 0 2 30 32 90 92 132 134 240 242 252 254 258 260
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: JayPi
db: batch=82, k=14, 28 58 40 106 10 4

SPT(16)	2513566668786286787	0 14 24 126 156 164 176 234 266 324 336 344 374 476 486 500	-1150564510452
SPT(16)	2513566797688987279	0 52 78 82 88 100 114 142 150 178 192 204 210 214 240 292	-1021661809960
SPT(16)	2513566888672676131	0 12 52 100 142 192 198 208 210 220 226 276 318 366 406 418	-930678121108
SPT(16)	2513567416533533209	0 22 24 28 40 54 78 90 142 154 178 192 204 208 210 232	-402817264030
SPT(16)	2513567548830036631	0 6 10 30 36 72 126 130 132 136 190 226 232 252 256 262	-270520760608
STPT(10)	2513567675791129301	0 2 36 38 78 80 120 122 156 158	-143559667938
STPT(10)	2513568034255079687	0 2 30 32 72 74 114 116 144 146	214904282448
STPT(10)	2513568056140538741	0 2 36 38 78 80 120 122 156 158	236789741502
SPT(16)	2513568099373855387	0 22 24 30 76 100 142 156 160 174 216 240 286 292 294 316	280023058148
SPT(16)	2513568328894400353	0 10 16 58 60 88 108 114 130 136 156 184 186 228 234 244	509543603114
STPT(10)	2513568455706511937	0 2 30 32 42 44 54 56 84 86	636355714698