Prime p₀= 1266392758916914817 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

TPT(14)	1266390852079928591	0 2 18 20 30 32 78 80 126 128 168 170 240 242	-1906836986226
STPT(10)	1266390865703166821	0 2 36 38 78 80 120 122 156 158	-1893213747996
SPT(16)	1266391044160599677	0 26 42 62 104 134 144 146 180 182 192 222 264 284 300 326	-1714756315140
SPT(16)	1266391068262448501	0 32 36 42 90 92 176 192 200 216 300 302 350 356 360 392	-1690654466316
STPT(10)	1266391521295151159	0 2 18 20 30 32 42 44 60 62	-1237621763658
TPT(14)	1266391788367573001	0 2 30 32 78 80 120 122 156 158 180 182 210 212	-970549341816
SPT(16)	1266393150764295751	0 10 16 60 106 108 126 148 228 250 268 270 316 360 366 376	391847380934
STPT(10)	1266393441509373377	0 2 30 32 72 74 114 116 144 146	682592458560
SPT(16)	1266393808333090993	0 6 30 54 64 96 100 118 156 174 178 210 220 244 268 274	1049416176176
STPT(10)	1266393997000165469	0 2 18 20 60 62 102 104 120 122	1238083250652
STPT(10)	1266394259352435077	0 2 12 14 72 74 132 134 144 146	1500435520260