Prime p₀= 2598655428679112951 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 28 2 28 2 22 2 16 2 (?)
a_n: 0 2 30 32 66 68 96 98 126 128 150 152 168 170
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: 170
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 34 28 28 22 16

SPT(13)	2598654689356336613	0 60 90 126 150 204 210 216 270 294 330 360 420	-739322776338
SPT(16)	2598654812536660741	0 6 40 42 48 58 78 96 142 160 180 190 196 198 232 238	-616142452210
STPT(10)	2598654833535920837	0 2 12 14 42 44 72 74 84 86	-595143192114
SPT(16)	2598654918402352387	0 34 40 42 84 90 102 160 174 232 244 250 292 294 300 334	-510276760564
SPT(16)	2598654946388583107	0 12 26 54 56 72 102 120 176 194 224 240 242 270 284 296	-482290529844
STPT(12)	2598654979573613549	0 2 12 14 42 44 78 80 108 110 120 122	-449105499402
SPT(16)	2598655722736880581	0 10 12 66 90 112 132 178 210 256 276 298 322 376 378 388	294057767630
STPT(10)	2598655772610930257	0 2 30 32 42 44 54 56 84 86	343931817306
STPT(10)	2598655781387182241	0 2 6 8 48 50 90 92 96 98	352708069290
SPT(16)	2598655797133021517	0 12 42 56 66 150 182 222 260 300 332 416 426 440 470 482	368453908566
TPT(14)	2598656014408612799	0 2 18 20 60 62 90 92 240 242 312 314 390 392	585729499848