Prime p₀= 2328629215776743777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: herby44
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2328627254701204309	0 10 24 30 34 112 130 154 198 222 240 318 322 328 342 352	-1961075539468
STPT(10)	2328627998411521949	0 2 18 20 30 32 42 44 60 62	-1217365221828
SPT(16)	2328628498512387727	0 24 42 82 96 112 126 144 172 190 204 220 234 274 292 316	-717264356050
SPT(16)	2328628848497646587	0 6 44 60 72 182 204 252 314 362 384 494 506 522 560 566	-367279097190
SPT(16)	2328628949081401849	0 60 70 78 94 138 148 168 190 210 220 264 280 288 298 358	-266695341928
SPT(16)	2328628986816483451	0 16 36 58 112 118 132 148 240 256 270 276 330 352 372 388	-228960260326
TPT(14)	2328629384012311151	0 2 78 80 120 122 126 128 156 158 186 188 210 212	168235567374
TPT(14)	2328630158359175819	0 2 42 44 108 110 210 212 222 224 252 254 282 284	942582432042
SPT(16)	2328630557644311667	0 4 36 42 60 66 84 94 162 172 190 196 214 220 252 256	1341867567890
TPT(14)	2328630750277620749	0 2 78 80 102 104 132 134 162 164 198 200 228 230	1534500876972
SPT(16)	2328631261373619733	0 24 76 90 136 166 234 238 306 310 378 408 454 468 520 544	2045596875956