Prime p₀= 2027321717433441719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: Landjunge
db: batch=80, k=10, 2 40 2 46 2

SPT(16)	2027320740112318099	0 40 42 114 130 142 150 154 168 172 180 192 208 280 282 322	-977321123620
STPT(10)	2027320826940205001	0 2 6 8 18 20 30 32 36 38	-890493236718
SPT(16)	2027321135306157619	0 10 64 70 78 88 130 144 178 192 234 244 252 258 312 322	-582127284100
SPT(16)	2027321194865914679	0 12 54 62 84 110 128 194 288 354 372 398 420 428 470 482	-522567527040
STPT(10)	2027321717433441629	0 2 48 50 90 92 132 134 180 182	-90
TPT(14)	2027321717433441629	0 2 48 50 90 92 132 134 180 182 228 230 270 272	-90
SPT(16)	2027321753053693849	0 4 18 48 78 100 174 184 228 238 312 334 364 394 408 412	35620252130
SPT(16)	2027322151860422797	0 4 34 136 144 186 210 234 262 286 310 352 360 462 492 496	434426981078
TPT(14)	2027322182788795577	0 2 12 14 102 104 114 116 150 152 192 194 234 236	465355353858
SPT(16)	2027322190674416593	0 28 46 48 88 198 210 286 360 436 448 558 598 600 618 646	473240974874
TPT(14)	2027322226243036757	0 2 114 116 144 146 150 152 240 242 264 266 270 272	508809595038