Prime p₀= 2313327075734672279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: herby44
db: batch=81, k=10, 2 40 2 16 2

STPT(10)	2313326111995895987	0 2 12 14 42 44 72 74 84 86	-963738776292
STPT(10)	2313326175914489579	0 2 18 20 30 32 42 44 60 62	-899820182700
SPT(16)	2313326759231862089	0 24 30 72 84 92 128 158 174 204 240 248 260 302 308 332	-316502810190
TPT(14)	2313326784873759797	0 2 30 32 42 44 102 104 114 116 132 134 174 176	-290860912482
SPT(16)	2313327063660379471	0 22 40 78 82 90 102 112 138 148 160 168 172 210 228 250	-12074292808
SPT(16)	2313327066664331479	0 12 24 34 72 94 130 144 208 222 258 280 318 328 340 352	-9070340800
STPT(10)	2313327158361704657	0 2 30 32 42 44 54 56 84 86	82627032378
SPT(16)	2313327436654428191	0 12 26 86 92 176 210 230 252 272 306 390 396 456 470 482	360919755912
SPT(16)	2313327828623164627	0 4 42 46 112 124 130 136 180 186 192 204 270 274 312 316	752888492348
SPT(16)	2313328067581204529	0 8 18 50 72 114 120 140 162 182 188 230 252 284 294 302	991846532250
STPT(10)	2313328298566222907	0 2 12 14 72 74 132 134 144 146	1222831550628