Prime p₀= 2881067580587368589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Roadranner
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2881064975820492581	0 2 156 158 168 170 180 182 336 338	-2604766876008
STPT(10)	2881065249878872487	0 2 30 32 72 74 114 116 144 146	-2330708496102
SPT(16)	2881066152376071941	0 12 66 80 110 116 152 158 270 276 312 318 348 362 416 428	-1428211296648
STPT(10)	2881066472384182931	0 2 30 32 60 62 90 92 120 122	-1108203185658
STPT(10)	2881066687884610409	0 2 30 32 60 62 90 92 120 122	-892702758180
SPT(18)	2881066781829360661	0 10 28 36 66 70 108 118 148 180 210 220 258 262 292 300 318 328	-798758007928
SPT(16)	2881068107399452973	0 6 30 144 156 170 224 246 254 276 330 344 356 470 494 500	526812084384
SPT(16)	2881068230250920371	0 22 72 106 190 208 256 268 270 282 330 348 432 466 516 538	649663551782
SPT(16)	2881068517244951207	0 14 56 72 102 116 126 146 150 170 180 194 224 240 282 296	936657582618
STPT(10)	2881068549182462831	0 2 90 92 108 110 126 128 216 218	968595094242
SPT(16)	2881068608265204547	0 64 100 112 114 120 154 190 354 390 424 430 432 444 480 544	1027677835958