Prime p₀= 3018713821704966557 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3018712450028090411	0 60 120 126 156 180 186 198 248 260 266 290 320 326 386 446	-1371676876146
SPT(16)	3018712778044746187	0 10 16 42 100 124 136 172 234 270 282 306 364 390 396 406	-1043660220370
SPT(16)	3018712827629530027	0 16 52 150 162 166 190 220 222 252 276 280 292 390 426 442	-994075436530
SPT(18)	3018713456337541397	0 24 96 102 110 116 152 164 182 204 222 234 270 276 284 290 362 386	-365367425160
STPT(10)	3018713483722676141	0 2 78 80 108 110 138 140 216 218	-337982290416
SPT(16)	3018713547413635493	0 14 30 56 80 108 114 126 188 200 206 234 258 284 300 314	-274291331064
SPT(16)	3018713936448003419	0 90 132 134 138 140 174 234 278 338 372 374 378 380 422 512	114743036862
TPT(14)	3018714105834851309	0 2 18 20 42 44 90 92 138 140 222 224 312 314	284129884752
STPT(10)	3018714175209108581	0 2 6 8 18 20 30 32 36 38	353504142024
SPT(16)	3018714270490814683	0 6 30 36 58 84 90 120 124 154 160 186 208 214 238 244	448785848126
SPT(16)	3018714498145040977	0 6 42 90 94 130 162 172 174 184 216 252 256 304 340 346	676440074420