Prime p₀= 2079370465497512417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 10 2 28 2 34 2 70 2 (?)
a_n: 0 2 60 62 72 74 84 86 114 116 150 152 222 224
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: 224
Found by: MechWarrior
db: batch=80, k=14, 58 10 10 28 34 70

SPT(16)	2079368739257967539	0 32 44 54 74 90 144 152 162 170 224 240 260 270 282 314	-1726239544878
STPT(10)	2079368872105016027	0 2 30 32 42 44 54 56 84 86	-1593392496390
SPT(16)	2079369208932473761	0 72 112 150 168 228 298 382 468 552 622 682 700 738 778 850	-1256565038656
SPT(16)	2079369395163828013	0 24 60 78 94 154 178 210 214 246 270 330 346 364 400 424	-1070333684404
SPT(16)	2079369452885307589	0 10 12 24 90 94 102 130 132 160 168 172 238 250 252 262	-1012612204828
SPT(16)	2079369659518874549	0 2 12 54 80 98 162 260 282 380 444 462 488 530 540 542	-805978637868
SPT(16)	2079370627510048267	0 22 40 72 84 90 156 160 246 250 316 322 334 366 384 406	162012535850
STPT(10)	2079371032327455467	0 2 12 14 42 44 72 74 84 86	566829943050
SPT(16)	2079371076289728961	0 6 12 28 78 82 112 148 150 186 216 220 270 286 292 298	610792216544
STPT(10)	2079371348737744727	0 2 30 32 222 224 414 416 444 446	883240232310
STPT(10)	2079371588791458329	0 2 18 20 30 32 42 44 60 62	1123293945912