Prime p₀= 1512357101750214521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 4 2 172 2 34 2 28 2 172 2 (?)
a_n: 0 2 90 92 96 98 270 272 306 308 336 338 510 512
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: 512
Found by: Spectrum
db: batch=78, k=14, 88 4 172 34 28 172

SPT(16)	1512355975625084071	0 48 52 70 160 202 238 292 306 360 396 438 528 546 550 598	-1126125130450
STPT(10)	1512356232489223937	0 2 12 14 132 134 252 254 264 266	-869260990584
SPT(16)	1512356486929369849	0 10 54 78 82 108 172 180 202 210 274 300 304 328 372 382	-614820844672
TPT(14)	1512356497360592579	0 2 12 14 48 50 78 80 132 134 150 152 192 194	-604389621942
SPT(16)	1512356577135065171	0 32 66 72 86 96 122 126 182 186 212 222 236 242 276 308	-524615149350
STPT(10)	1512356956678010039	0 2 42 44 60 62 78 80 120 122	-145072204482
STPT(10)	1512357205184229401	0 2 6 8 48 50 90 92 96 98	103434014880
SPT(16)	1512357270449151131	0 12 26 36 38 42 66 78 110 122 146 150 152 162 176 188	168698936610
TPT(14)	1512357528551095799	0 2 18 20 42 44 60 62 102 104 138 140 282 284	426800881278
SPT(16)	1512357787886331259	0 18 48 84 100 108 112 174 238 300 304 312 328 364 394 412	686136116738
SPT(16)	1512357874850049197	0 6 26 42 116 126 146 152 174 180 200 210 284 300 320 326	773099834676