Prime p₀= 3023376345652100507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: fzs600
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	3023373782944573517	0 2 30 32 42 44 54 56 84 86	-2562707526990
SPT(16)	3023373970803454901	0 50 72 150 156 162 182 206 216 240 260 266 272 350 372 422	-2374848645606
SPT(16)	3023374057849502647	0 6 16 30 34 42 64 72 154 162 184 192 196 210 220 226	-2287802597860
STPT(10)	3023374080650247977	0 2 42 44 72 74 102 104 144 146	-2265001852530
SPT(16)	3023374819459673339	0 24 38 62 78 104 108 140 162 194 198 224 240 264 278 302	-1526192427168
SPT(16)	3023376106666432393	0 18 60 88 90 100 106 148 156 198 204 214 216 244 286 304	-238985668114
SPT(16)	3023376552151659727	0 24 36 102 114 132 150 154 192 196 214 232 244 310 322 346	206499559220
SPT(16)	3023376710639840969	0 18 60 74 84 98 110 168 170 228 240 254 264 278 320 338	364987740462
STPT(10)	3023377224653375657	0 2 12 14 42 44 72 74 84 86	879001275150
SPT(16)	3023377322472180857	0 14 36 50 150 152 186 192 254 260 294 296 396 410 432 446	976820080350
STPT(10)	3023377747301379701	0 2 36 38 78 80 120 122 156 158	1401649279194