Prime p₀= 1367270764117536539 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1367269764465287279	0 2 42 44 60 62 78 80 120 122	-999652249260
SPT(18)	1367269946613778219	0 24 90 108 154 210 220 238 280 312 354 372 382 438 484 502 568 592	-817503758320
STPT(10)	1367270247503308007	0 2 30 32 72 74 114 116 144 146	-516614228532
SPT(16)	1367270487728030737	0 36 54 60 70 82 106 126 130 150 174 186 196 202 220 256	-276389505802
SPT(16)	1367270533557514567	0 46 66 102 120 130 142 156 190 204 216 226 244 280 300 346	-230560021972
SPT(16)	1367270757964690861	0 36 46 58 66 76 78 88 90 100 102 112 120 132 142 178	-6152845678
STPT(10)	1367270927544111167	0 2 30 32 42 44 54 56 84 86	163426574628
SPT(16)	1367271107202494009	0 48 54 80 162 174 230 318 344 432 488 500 582 608 614 662	343084957470
STPT(10)	1367271337745870651	0 2 6 8 48 50 90 92 96 98	573628334112
STPT(10)	1367271355207327637	0 2 60 62 72 74 84 86 144 146	591089791098
SPT(16)	1367271357072714677	0 30 44 50 62 84 96 180 206 290 302 324 336 342 356 386	592955178138