Prime p₀= 2474333722780875419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 10 2 106 2 58 2 10 2 (?)
a_n: 0 2 72 74 78 80 90 92 198 200 258 260 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 70 4 10 106 58 10

SPT(16)	2474332187293375309	0 10 24 42 54 64 94 112 132 150 180 190 202 220 234 244	-1535487500110
SPT(16)	2474332717251315443	0 48 50 90 96 164 186 188 306 308 330 398 404 444 446 494	-1005529559976
SPT(16)	2474333056785641999	0 2 72 84 104 110 138 168 224 254 282 288 308 320 390 392	-665995233420
SPT(13)	2474333300362115527	0 12 30 60 90 96 156 216 222 252 282 300 312	-422418759892
SPT(16)	2474333328281872201	0 16 28 42 48 70 88 126 202 240 258 280 286 300 312 328	-394499003218
SPT(16)	2474333390379612989	0 24 30 80 84 90 108 134 294 320 338 344 348 398 404 428	-332401262430
STPT(10)	2474333986489996991	0 2 6 8 48 50 90 92 96 98	263709121572
TPT(14)	2474334005597412767	0 2 72 74 84 86 132 134 174 176 210 212 240 242	282816537348
SPT(16)	2474334061587030809	0 24 48 60 74 80 134 140 168 174 228 234 248 260 284 308	338806155390
SPT(16)	2474334200569196461	0 40 66 108 126 150 168 198 460 490 508 532 550 592 618 658	477788321042
SPT(16)	2474334619218176203	0 4 10 24 48 76 108 114 130 136 168 196 220 234 240 244	896437300784