Prime p₀= 2679938012682401267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2679937185621661939	0 10 28 52 54 88 108 114 178 184 204 238 240 264 282 292	-827060739328
STPT(10)	2679937200100922519	0 2 18 20 30 32 42 44 60 62	-812581478748
STPT(10)	2679937229300349371	0 2 66 68 108 110 150 152 216 218	-783382051896
SPT(16)	2679937287255324631	0 6 16 28 42 72 108 138 220 250 286 316 330 342 352 358	-725427076636
SPT(16)	2679937339653535139	0 2 62 78 80 98 110 122 138 150 162 180 182 198 258 260	-673028866128
STPT(10)	2679937374347473127	0 2 30 32 42 44 54 56 84 86	-638334928140
SPT(16)	2679938260079446453	0 136 148 154 156 174 190 226 258 294 310 328 330 336 348 484	247397045186
SPT(16)	2679938593068518891	0 32 50 120 146 162 186 240 272 326 350 366 392 462 480 512	580386117624
STPT(10)	2679938767632283637	0 2 30 32 42 44 54 56 84 86	754949882370
SPT(16)	2679939018274949689	0 4 30 48 58 88 114 144 208 238 264 294 304 322 348 352	1005592548422
STPT(10)	2679939037055120261	0 2 36 38 78 80 120 122 156 158	1024372718994