Prime p₀= 1070369683982293991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: Skivelitis2
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1070368814473746547	0 22 30 100 144 160 184 214 240 270 294 310 354 424 432 454	-869508547444
SPT(16)	1070368921132404353	0 14 20 38 48 56 78 98 126 146 168 176 186 204 210 224	-762849889638
STPT(10)	1070368965210747089	0 2 18 20 30 32 42 44 60 62	-718771546902
STPT(10)	1070369072874435701	0 2 6 8 48 50 90 92 96 98	-611107858290
SPT(16)	1070369326702728527	0 44 60 80 114 132 146 194 312 360 374 392 426 446 462 506	-357279565464
STPT(10)	1070369357421953747	0 2 54 56 72 74 90 92 144 146	-326560340244
SPT(16)	1070369939546582737	0 46 72 90 96 166 192 216 220 244 270 340 346 364 390 436	255564288746
SPT(16)	1070370098160396529	0 30 72 82 88 108 130 138 184 192 214 234 240 250 292 322	414178102538
SPT(16)	1070370151953261683	0 54 56 80 86 104 110 150 170 210 216 234 240 264 266 320	467970967692
STPT(10)	1070370160751104847	0 2 54 56 132 134 210 212 264 266	476768810856
TPT(14)	1070370376477062707	0 2 12 14 72 74 102 104 114 116 144 146 222 224	692494768716