Prime p₀= 2157081965298179327 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

SPT(16)	2157080507573436521	0 6 32 42 60 86 138 182 186 230 282 308 326 336 362 368	-1457724742806
STPT(10)	2157080513738748707	0 2 42 44 132 134 222 224 264 266	-1451559430620
SPT(16)	2157081184948294547	0 24 42 50 56 126 140 144 182 186 200 270 276 284 302 326	-780349884780
SPT(16)	2157081198632565559	0 12 28 78 142 180 228 268 294 334 382 420 484 534 550 562	-766665613768
STPT(10)	2157081746875556489	0 2 18 20 30 32 42 44 60 62	-218422622838
SPT(16)	2157081893066435801	0 6 26 56 98 102 126 138 140 152 176 180 222 252 272 278	-72231743526
SPT(16)	2157082008546407321	0 2 12 32 42 78 108 122 198 212 242 278 288 308 318 320	43248227994
TPT(14)	2157082315993225667	0 2 54 56 60 62 90 92 114 116 144 146 180 182	350695046340
SPT(16)	2157082540586783401	0 16 22 30 88 132 160 168 190 198 226 270 328 336 342 358	575288604074
STPT(10)	2157082638182510567	0 2 60 62 72 74 84 86 144 146	672884331240
TPT(14)	2157082958199821609	0 2 60 62 72 74 102 104 138 140 180 182 198 200	992901642282