Prime p₀= 2250307693638858587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2250305767670307047	0 2 30 32 42 44 54 56 84 86	-1925968551540
STPT(10)	2250307212906429041	0 2 30 32 78 80 126 128 156 158	-480732429546
SPT(16)	2250307307217796889	0 12 20 54 90 104 108 128 234 254 258 272 308 342 350 362	-386421061698
STPT(10)	2250307477985999867	0 2 30 32 42 44 54 56 84 86	-215652858720
STPT(10)	2250307584959150699	0 2 12 14 90 92 168 170 180 182	-108679707888
SPT(16)	2250307693013038723	0 4 28 58 60 78 94 100 108 114 130 148 150 180 204 208	-625819864
SPT(16)	2250307958245647301	0 30 36 40 60 78 148 210 268 330 400 418 438 442 448 478	264606788714
SPT(16)	2250308447471070439	0 82 88 124 168 172 192 234 238 280 300 304 348 384 390 472	753832211852
SPT(16)	2250308553492595873	0 6 30 54 84 88 90 120 124 154 156 160 190 214 238 244	859853737286
SPT(16)	2250309290992745561	0 20 62 68 90 120 138 152 168 182 200 230 252 258 300 320	1597353886974
SPT(16)	2250309489060174469	0 22 28 54 72 78 82 88 114 120 124 130 148 174 180 202	1795421315882