Prime p₀= 2232222985895027129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 76 2

STPT(10)	2232220419206024237	0 2 12 14 72 74 132 134 144 146	-2566689002892
TPT(14)	2232221165127399461	0 2 36 38 96 98 138 140 210 212 240 242 276 278	-1820767627668
STPT(10)	2232222026664135431	0 2 30 32 78 80 126 128 156 158	-959230891698
SPT(16)	2232222131053761943	0 54 76 84 88 160 166 186 328 348 354 426 430 438 460 514	-854841265186
STPT(10)	2232222332594274071	0 2 6 8 18 20 30 32 36 38	-653300753058
SPT(16)	2232222365042015011	0 12 18 66 72 130 136 220 228 312 318 376 382 430 436 448	-620853012118
SPT(16)	2232223406748073579	0 12 22 24 42 54 88 102 130 144 178 190 208 210 220 232	420853046450
SPT(16)	2232223551206023699	0 52 70 90 112 162 190 228 412 450 478 528 550 570 588 640	565310996570
SPT(16)	2232223674331248253	0 36 64 76 126 148 160 168 196 204 216 238 288 300 328 364	688436221124
SPT(16)	2232223706419858247	0 32 110 120 132 140 144 174 272 302 306 314 326 336 414 446	720524831118
SPT(16)	2232223899388018399	0 48 70 90 112 132 142 168 184 210 220 240 262 282 304 352	913492991270