Prime p₀= 2136678141559049897 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

SPT(16)	2136677016778530241	0 28 30 162 186 190 222 226 252 256 288 292 316 448 450 478	-1124780519656
STPT(10)	2136677201124566039	0 2 18 20 30 32 42 44 60 62	-940434483858
SPT(18)	2136677242028296921	0 30 46 48 52 126 136 142 150 178 186 192 202 276 280 282 298 328	-899530752976
STPT(10)	2136677554018699817	0 2 30 32 72 74 114 116 144 146	-587540350080
SPT(16)	2136677884686679253	0 6 44 110 134 138 156 168 176 188 206 210 234 300 338 344	-256872370644
STPT(10)	2136677936975346431	0 2 6 8 18 20 30 32 36 38	-204583703466
SPT(16)	2136678208564960141	0 72 76 126 138 190 228 336 412 520 558 610 622 672 676 748	67005910244
STPT(10)	2136678669667463531	0 2 30 32 78 80 126 128 156 158	528108413634
SPT(16)	2136678807599571581	0 56 68 108 126 188 198 210 218 230 240 302 320 360 372 428	666040521684
SPT(16)	2136678814865306237	0 36 44 56 86 92 152 164 252 264 324 330 360 372 380 416	673306256340
SPT(16)	2136678864147485941	0 10 48 70 78 100 118 148 210 240 258 280 288 310 348 358	722588436044