Prime p₀= 2038910323725111827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2038909591987166357	0 2 30 32 42 44 54 56 84 86	-731737945470
SPT(16)	2038909709688784403	0 20 44 60 84 116 128 168 176 216 228 260 284 300 324 344	-614036327424
SPT(16)	2038909887481612837	0 4 24 40 66 112 150 154 252 256 294 340 366 382 402 406	-436243498990
SPT(16)	2038910042422927781	0 38 50 86 90 92 98 122 126 150 156 158 162 198 210 248	-281302184046
STPT(10)	2038910091192724571	0 2 6 8 48 50 90 92 96 98	-232532387256
SPT(16)	2038910269242917111	0 26 42 66 68 72 122 140 198 216 266 270 272 296 312 338	-54482194716
STPT(10)	2038910661445230281	0 2 36 38 78 80 120 122 156 158	337720118454
SPT(16)	2038910810031057497	0 2 14 20 44 54 90 104 132 146 182 192 216 222 234 236	486305945670
STPT(10)	2038911896377024679	0 2 48 50 90 92 132 134 180 182	1572651912852
SPT(16)	2038911907382806829	0 2 20 44 72 74 102 132 140 170 198 200 228 252 270 272	1583657695002
SPT(16)	2038912460091893923	0 10 18 36 88 108 144 166 258 280 316 336 388 406 414 424	2136366782096