Prime p₀= 1040321713925734319 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: aendgraend
db: batch=76, k=10, 2 46 2 10 2

SPT(16)	1040320652030925163	0 16 28 66 78 84 94 100 204 210 220 226 238 276 288 304	-1061894809156
STPT(10)	1040320892851733327	0 2 30 32 102 104 174 176 204 206	-821074000992
SPT(16)	1040321062309131397	0 4 6 40 82 84 90 130 156 196 202 204 246 280 282 286	-651616602922
SPT(16)	1040321074940567171	0 20 72 98 120 152 170 176 252 258 276 308 330 356 408 428	-638985167148
SPT(16)	1040321517521074331	0 12 60 78 92 96 110 126 152 168 182 186 200 218 266 278	-196404659988
STPT(10)	1040321542491573227	0 2 54 56 72 74 90 92 144 146	-171434161092
SPT(16)	1040321734279508327	0 44 54 86 96 192 194 216 230 252 254 350 360 392 402 446	20353774008
SPT(16)	1040321795033374181	0 6 128 138 146 182 210 230 258 278 306 342 350 360 482 488	81107639862
SPT(16)	1040321945851240289	0 20 48 68 74 84 90 98 150 158 164 174 180 200 228 248	231925505970
SPT(16)	1040322044850757237	0 10 22 66 114 130 142 160 186 204 216 232 280 324 336 346	330925022918
SPT(16)	1040322420807906679	0 34 70 78 108 120 132 150 172 190 202 214 244 252 288 322	706882172360