Prime p₀= 2158871971492088717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 40 2 28 2

STPT(10)	2158870968245260979	0 2 12 14 180 182 348 350 360 362	-1003246827738
STPT(10)	2158871257316761751	0 2 30 32 78 80 126 128 156 158	-714175326966
SPT(16)	2158871375234024783	0 48 146 150 164 168 176 260 294 378 386 390 404 408 506 554	-596258063934
SPT(16)	2158871610254280511	0 30 42 66 90 102 150 196 276 322 370 382 406 430 442 472	-361237808206
SPT(16)	2158871796286333879	0 64 78 84 130 144 148 154 234 240 244 258 304 310 324 388	-175205754838
SPT(16)	2158871827610510767	0 54 112 132 150 160 184 250 294 360 384 394 412 432 490 544	-143881577950
STPT(10)	2158873195987627319	0 2 12 14 90 92 168 170 180 182	1224495538602
SPT(16)	2158873329229529603	0 20 60 98 104 140 176 194 210 228 264 300 306 344 384 404	1357737440886
STPT(10)	2158873331840406497	0 2 30 32 42 44 54 56 84 86	1360348317780
SPT(16)	2158873542569962997	0 30 42 74 84 114 132 140 204 212 230 260 270 302 314 344	1571077874280
TPT(14)	2158873566459728771	0 2 48 50 78 80 186 188 228 230 246 248 336 338	1594967640054