Prime p₀= 2678347710265367531 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 178 2 28 2 28 2 178 2 (?)
a_n: 0 2 180 182 210 212 240 242 420 422
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: 422
Found by: Asgard2022
db: batch=82, k=10, 2 178 2 28 2

SPT(16)	2678346340274654417	0 44 54 56 84 92 102 176 180 254 264 272 300 302 312 356	-1369990713114
STPT(10)	2678346535104246047	0 2 30 32 42 44 54 56 84 86	-1175161121484
SPT(16)	2678347155657267881	0 20 56 68 80 132 198 206 222 230 296 348 360 372 408 428	-554608099650
SPT(16)	2678347341853993573	0 18 60 70 78 84 100 106 108 114 130 136 144 154 196 214	-368411373958
STPT(10)	2678347414950769319	0 2 18 20 30 32 42 44 60 62	-295314598212
SPT(16)	2678347484193083299	0 42 70 130 132 192 214 220 234 240 262 322 324 384 412 454	-226072284232
SPT(16)	2678348028255839767	0 10 22 60 90 102 142 144 202 204 244 256 286 324 336 346	317990472236
SPT(16)	2678348057340395641	0 12 82 88 90 102 130 138 160 168 196 208 210 216 286 298	347075028110
TPT(14)	2678348944898045777	0 2 12 14 72 74 114 116 204 206 282 284 534 536	1234632678246
STPT(10)	2678349545958788027	0 2 30 32 42 44 54 56 84 86	1835693420496
SPT(16)	2678349668184626327	0 6 42 66 72 92 170 182 204 216 294 314 320 344 380 386	1957919258796