Prime p₀= 2712387790889313149 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2712386925519334159	0 28 42 52 120 130 132 162 178 208 210 220 288 298 312 340	-865369978990
SPT(13)	2712386973552285481	0 12 18 138 168 222 240 258 312 342 462 468 480	-817337027668
TPT(14)	2712387346108712579	0 2 72 74 108 110 138 140 222 224 240 242 282 284	-444780600570
SPT(16)	2712387377995479979	0 4 54 64 70 120 172 204 208 240 292 342 348 358 408 412	-412893833170
SPT(16)	2712387422900093761	0 12 102 120 166 168 190 208 210 228 250 252 298 316 406 418	-367989219388
STPT(10)	2712387686872262207	0 2 12 14 72 74 132 134 144 146	-104017050942
STPT(12)	2712387959668875011	0 2 30 32 60 62 108 110 138 140 168 170	168779561862
SPT(16)	2712388210441918273	0 6 18 46 48 108 124 144 160 180 196 256 258 286 298 304	419552605124
SPT(16)	2712388474375414579	0 12 40 78 94 138 184 198 244 258 304 348 364 402 430 442	683486101430
SPT(16)	2712388902908736221	0 32 36 48 92 158 170 200 258 288 300 366 410 422 426 458	1112019423072
SPT(16)	2712388963810061243	0 56 96 116 140 186 206 276 284 354 374 420 444 464 504 560	1172920748094