Prime p₀= 1425478466507250371 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 10 2 16 2 40 2 94 2 10 2 (?)
a_n: 0 2 138 140 150 152 168 170 210 212 306 308 318 320
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: 320
Found by: Theadalus
db: batch=78, k=14, 136 10 16 40 94 10

SPT(20)	1425477629732719081	0 22 60 70 82 88 150 162 172 208 210 246 256 268 330 336 348 358 396 418	-836774531290
STPT(10)	1425477806374756229	0 2 18 20 30 32 42 44 60 62	-660132494142
SPT(16)	1425477934581209759	0 8 32 50 74 84 132 144 248 260 308 318 342 360 384 392	-531926040612
TPT(14)	1425477951410941469	0 2 42 44 72 74 138 140 150 152 192 194 228 230	-515096308902
SPT(16)	1425478211489833757	0 26 42 54 60 72 102 120 176 194 224 236 242 254 270 296	-255017416614
STPT(10)	1425478416996549731	0 2 6 8 48 50 90 92 96 98	-49510700640
STPT(10)	1425479033614086461	0 2 6 8 48 50 90 92 96 98	567106836090
SPT(16)	1425479196507334447	0 34 36 64 180 222 232 300 316 384 394 436 552 580 582 616	730000084076
TPT(14)	1425479626919626121	0 2 48 50 60 62 138 140 180 182 186 188 306 308	1160412375750
STPT(10)	1425479668989266489	0 2 18 20 30 32 42 44 60 62	1202482016118
STPT(10)	1425479803217079821	0 2 30 32 78 80 126 128 156 158	1336709829450