Prime p₀= 1070429226691351517 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1070427450238466737	0 4 6 22 42 84 96 126 160 190 202 244 264 280 282 286	-1776452884780
SPT(16)	1070427832594515649	0 18 52 64 72 102 108 130 132 154 160 190 198 210 244 262	-1394096835868
SPT(16)	1070428916905337239	0 24 40 78 108 132 150 160 222 232 250 274 304 342 358 382	-309786014278
STPT(10)	1070429049500259479	0 2 18 20 30 32 42 44 60 62	-177191092038
SPT(16)	1070429121125872601	0 18 32 42 48 60 98 132 218 252 290 302 308 318 332 350	-105565478916
SPT(16)	1070429140146939649	0 42 52 84 88 102 108 154 168 214 220 234 238 270 280 322	-86544411868
SPT(16)	1070429525807290709	0 32 98 144 168 210 230 264 308 342 362 404 428 474 540 572	299115939192
SPT(16)	1070429817359863601	0 20 32 62 72 102 186 210 218 242 326 356 366 396 408 428	590668512084
SPT(16)	1070429886069843359	0 42 90 92 98 120 210 212 228 230 320 342 348 350 398 440	659378491842
STPT(10)	1070429957105684477	0 2 30 32 42 44 54 56 84 86	730414332960
SPT(16)	1070430279493899631	0 10 30 42 48 90 108 112 138 142 160 202 208 220 240 250	1052802548114