Prime p₀= 3212909028204833927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 118 2 46 2 28 2 10 2 (?)
a_n: 0 2 12 14 102 104 222 224 270 272 300 302 312 314
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: Hightower
db: batch=83, k=14, 10 88 118 46 28 10

STPT(10)	3212908060926804431	0 2 36 38 78 80 120 122 156 158	-967278029496
TPT(14)	3212908230401146181	0 2 48 50 156 158 168 170 186 188 300 302 420 422	-797803687746
SPT(16)	3212908270478870389	0 28 72 82 88 100 118 150 160 192 210 222 228 238 282 310	-757725963538
SPT(16)	3212908335348666209	0 12 48 72 90 98 110 114 188 192 204 212 230 254 290 302	-692856167718
SPT(16)	3212908576029506261	0 12 48 116 150 152 186 216 242 272 306 308 342 410 446 458	-452175327666
SPT(16)	3212908833071005597	0 34 46 70 96 126 226 244 336 354 454 484 510 534 546 580	-195133828330
STPT(10)	3212909050657544339	0 2 12 14 90 92 168 170 180 182	22452710412
STPT(10)	3212909152854508337	0 2 24 26 42 44 60 62 84 86	124649674410
STPT(10)	3212909154591759431	0 2 6 8 48 50 90 92 96 98	126386925504
STPT(10)	3212909231096509337	0 2 30 32 42 44 54 56 84 86	202891675410
STPT(10)	3212909271152234651	0 2 6 8 48 50 90 92 96 98	242947400724