Prime p₀= 1025613707285314451 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 190 2 40 2 4 2 22 2 4 2 (?)
a_n: 0 2 66 68 258 260 300 302 306 308 330 332 336 338
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: 338
Found by: Theadalus
db: batch=76, k=14, 64 190 40 4 22 4

STPT(10)	1025612822839050569	0 2 12 14 30 32 48 50 60 62	-884446263882
STPT(10)	1025612859953996981	0 2 6 8 18 20 30 32 36 38	-847331317470
STPT(10)	1025613009374665289	0 2 48 50 90 92 132 134 180 182	-697910649162
SPT(16)	1025613147678661571	0 2 60 66 80 98 108 126 182 200 210 228 242 248 306 308	-559606652880
SPT(16)	1025613163311553589	0 12 42 48 50 90 104 188 204 288 302 342 344 350 380 392	-543973760862
STPT(12)	1025613704494102637	0 2 84 86 90 92 174 176 180 182 264 266	-2791211814
SPT(16)	1025613837852732379	0 28 30 60 72 84 88 142 180 234 238 250 262 292 294 322	130567417928
STPT(10)	1025614684820181887	0 2 54 56 72 74 90 92 144 146	977534867436
SPT(16)	1025614918911257249	0 12 50 92 134 138 152 194 378 420 434 438 480 522 560 572	1211625942798
STPT(10)	1025615073492531461	0 2 30 32 60 62 90 92 120 122	1366207217010
SPT(16)	1025615185408054039	0 10 52 58 78 94 130 138 154 162 198 214 234 240 282 292	1478122739588