Prime p₀= 850371355037015237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 28 2 34 2 28 2 88 2 (?)
a_n: 0 2 24 26 84 86 114 116 150 152 180 182 270 272
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: RFGuy_KCCO
db: batch=73, k=14, 22 58 28 34 28 88

STPT(10)	850370694839549087	0 2 12 14 42 44 72 74 84 86	-660197466150
SPT(16)	850370879454792869	0 8 42 60 90 120 174 182 210 218 272 302 332 350 384 392	-475582222368
SPT(16)	850370899043288989	0 28 48 70 94 130 174 192 220 238 282 318 342 364 384 412	-455993726248
SPT(16)	850371066911658449	0 20 42 84 110 164 180 224 258 302 318 372 398 440 462 482	-288125356788
STPT(10)	850371283911671297	0 2 12 14 42 44 72 74 84 86	-71125343940
SPT(16)	850371317725219757	0 24 26 62 84 104 126 132 224 230 252 272 294 330 332 356	-37311795480
SPT(16)	850371630706752347	0 6 42 56 102 114 140 152 174 186 212 224 270 284 320 326	275669737110
STPT(10)	850371663442200899	0 2 18 20 30 32 42 44 60 62	308405185662
STPT(10)	850371686233107131	0 2 36 38 78 80 120 122 156 158	331196091894
STPT(10)	850371731836302197	0 2 30 32 42 44 54 56 84 86	376799286960
STPT(10)	850371857895930059	0 2 18 20 30 32 42 44 60 62	502858914822