Prime p₀= 1585257590299913867 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: crashtech
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1585256870370100633	0 24 28 70 76 90 118 136 168 186 214 228 234 276 280 304	-719929813234
STPT(10)	1585256947142654081	0 2 6 8 18 20 30 32 36 38	-643157259786
SPT(16)	1585257166374884819	0 18 62 92 98 102 110 180 182 252 260 264 270 300 344 362	-423925029048
SPT(16)	1585257197126287879	0 22 34 42 52 120 154 172 252 270 304 372 382 390 402 424	-393173625988
SPT(16)	1585257239104831181	0 8 30 66 80 86 120 126 152 158 192 198 212 248 270 278	-351195082686
SPT(16)	1585257397626551401	0 46 70 76 78 88 90 156 172 238 240 250 252 258 282 328	-192673362466
SPT(16)	1585257704401820843	0 20 80 216 228 240 254 290 294 330 344 356 368 504 564 584	114101906976
SPT(16)	1585257874018221847	0 30 42 52 72 82 94 112 204 222 234 244 264 274 286 316	283718307980
STPT(10)	1585257967680942431	0 2 30 32 60 62 90 92 120 122	377381028564
SPT(16)	1585258030442249519	0 20 24 48 72 74 102 132 140 170 198 200 224 248 252 272	440142335652
TPT(14)	1585258348087222181	0 2 48 50 126 128 156 158 216 218 228 230 246 248	757787308314