Prime p₀= 2370976063709047547 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JonS
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2370974864380374841	0 10 18 36 42 52 72 102 106 136 156 166 172 190 198 208	-1199328672706
STPT(10)	2370974920730214047	0 2 12 14 72 74 132 134 144 146	-1142978833500
SPT(20)	2370975400490616961	0 48 82 132 160 172 178 216 292 318 370 396 472 510 516 528 556 606 640 688	-663218430586
SPT(16)	2370975416142056993	0 38 48 146 176 216 224 234 320 330 338 378 408 506 516 554	-647566990554
TPT(14)	2370975486698802131	0 2 30 32 78 80 108 110 126 128 150 152 156 158	-577010245416
SPT(16)	2370975879748626671	0 6 36 48 68 78 80 92 96 108 110 120 140 152 182 188	-183960420876
STPT(10)	2370977223154491167	0 2 60 62 72 74 84 86 144 146	1159445443620
TPT(14)	2370977323742872487	0 2 12 14 30 32 54 56 60 62 84 86 102 104	1260033824940
STPT(12)	2370977323742872499	0 2 18 20 42 44 48 50 72 74 90 92	1260033824952
STPT(10)	2370977779394083331	0 2 36 38 108 110 180 182 216 218	1715685035784
SPT(16)	2370978147755532187	0 12 22 54 60 90 94 124 132 162 166 196 202 234 244 256	2084046484640