Prime p₀= 1314033520315355891 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: szymmirr
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1314031469310599101	0 30 40 82 88 130 138 186 262 310 318 360 366 408 418 448	-2051004756790
STPT(10)	1314032343493470059	0 2 18 20 30 32 42 44 60 62	-1176821885832
SPT(16)	1314032555904187291	0 6 16 58 60 78 106 130 228 252 280 298 300 342 352 358	-964411168600
TPT(14)	1314032641720932449	0 2 42 44 120 122 138 140 162 164 198 200 240 242	-878594423442
SPT(16)	1314032747646363317	0 60 72 84 86 102 144 146 180 182 224 240 242 254 266 326	-772668992574
SPT(16)	1314032996913827999	0 30 32 68 128 132 198 212 228 242 308 312 372 408 410 440	-523401527892
SPT(16)	1314033725244989179	0 22 40 70 112 114 118 132 190 204 208 210 252 282 300 322	204929633288
TPT(14)	1314033746457238241	0 2 30 32 66 68 210 212 240 242 246 248 276 278	226141882350
SPT(16)	1314033804721876243	0 36 40 66 78 88 120 148 168 196 228 238 250 276 280 316	284406520352
SPT(16)	1314033947299029419	0 14 60 74 80 84 114 140 168 194 224 228 234 248 294 308	426983673528
STPT(10)	1314034787300153801	0 2 36 38 78 80 120 122 156 158	1266984797910