Prime p₀= 1585270771663281317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	1585268814775105139	0 72 78 98 114 120 144 168 194 218 242 248 264 284 290 362	-1956888176178
SPT(16)	1585268875393139147	0 12 24 26 66 126 164 194 252 282 320 380 420 422 434 446	-1896270142170
STPT(10)	1585268958164785547	0 2 12 14 132 134 252 254 264 266	-1813498495770
SPT(16)	1585269359825712607	0 4 12 40 112 142 144 154 270 280 282 312 384 412 420 424	-1411837568710
SPT(16)	1585269719635067251	0 16 48 58 78 126 130 148 168 186 190 238 258 268 300 316	-1052028214066
STPT(10)	1585270456541699927	0 2 24 26 42 44 60 62 84 86	-315121581390
SPT(16)	1585270946277678977	0 14 72 92 150 192 234 252 254 272 314 356 414 434 492 506	174614397660
SPT(18)	1585271149333124423	0 48 60 78 86 104 146 156 170 174 188 198 240 258 266 284 296 344	377669843106
SPT(16)	1585271240611428043	0 34 46 48 58 108 136 144 160 168 196 246 256 258 270 304	468948146726
STPT(10)	1585271799878727869	0 2 18 20 30 32 42 44 60 62	1028215446552
STPT(10)	1585271803045903781	0 2 6 8 48 50 90 92 96 98	1031382622464