Prime p₀= 2842128698891496671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 142 2 34 2 28 2 22 2 (?)
a_n: 0 2 66 68 126 128 270 272 306 308 336 338 360 362
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: 362
Found by: [SG-FC] hl
db: batch=82, k=14, 64 58 142 34 28 22

TPT(14)	2842127386970721251	0 2 48 50 78 80 108 110 120 122 138 140 180 182	-1311920775420
STPT(10)	2842127679349969187	0 2 72 74 102 104 132 134 204 206	-1019541527484
SPT(16)	2842127697059207959	0 10 24 48 54 58 84 124 168 208 234 238 244 268 282 292	-1001832288712
STPT(10)	2842127863861497149	0 2 30 32 120 122 210 212 240 242	-835029999522
SPT(16)	2842128277356294221	0 32 72 78 80 98 116 236 252 372 390 408 410 416 456 488	-421535202450
TPT(14)	2842128599427250697	0 2 12 14 102 104 114 116 144 146 252 254 300 302	-99464245974
TPT(14)	2842128999345384629	0 2 18 20 60 62 102 104 138 140 192 194 240 242	300453887958
SPT(16)	2842129160388753449	0 12 48 90 102 162 222 242 288 308 368 428 440 482 518 530	461497256778
SPT(16)	2842129331274344641	0 18 28 40 46 70 90 106 150 166 186 210 216 228 238 256	632382847970
SPT(16)	2842129416205699171	0 6 10 48 90 132 156 186 292 322 346 388 430 468 472 478	717314202500
TPT(14)	2842129636494777071	0 2 18 20 48 50 60 62 78 80 288 290 378 380	937603280400