Prime p₀= 853136240522041937 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: scrap
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	853135509969527011	0 22 36 40 42 148 166 168 220 222 240 346 348 352 366 388	-730552514926
TPT(14)	853135665542370629	0 2 102 104 150 152 240 242 402 404 408 410 438 440	-574979671308
SPT(16)	853135840465242427	0 22 30 64 106 136 144 150 196 202 210 240 282 316 324 346	-400056799510
STPT(10)	853135863893352617	0 2 30 32 42 44 54 56 84 86	-376628689320
SPT(16)	853135878160604209	0 34 40 52 54 70 100 124 150 174 204 220 222 234 240 274	-362361437728
STPT(10)	853136140691022239	0 2 42 44 60 62 78 80 120 122	-99831019698
SPT(16)	853136256217439599	0 54 208 214 322 324 340 370 432 462 478 480 588 594 748 802	15695397662
SPT(16)	853136385283168981	0 40 88 108 120 156 166 180 238 252 262 298 310 330 378 418	144761127044
SPT(16)	853136550142834757	0 2 42 72 86 92 120 126 170 176 204 210 224 254 294 296	309620792820
SPT(16)	853136620700942381	0 30 42 56 60 86 146 180 188 222 282 308 312 326 338 368	380178900444
STPT(10)	853136639398143179	0 2 48 50 60 62 72 74 120 122	398876101242