Prime p₀= 1041318179641520507 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: aendgraend
db: batch=76, k=10, 2 22 2 16 2

STPT(10)	1041316108891671791	0 2 6 8 48 50 90 92 96 98	-2070749848716
SPT(16)	1041316934689056967	0 22 120 130 174 184 216 256 270 310 342 352 396 406 504 526	-1244952463540
SPT(16)	1041317240130291347	0 14 20 60 62 110 126 144 152 170 186 234 236 276 282 296	-939511229160
STPT(10)	1041317305934756309	0 2 18 20 30 32 42 44 60 62	-873706764198
STPT(12)	1041317852311083209	0 2 18 20 30 32 90 92 102 104 120 122	-327330437298
STPT(10)	1041318112202045441	0 2 30 32 78 80 126 128 156 158	-67439475066
STPT(10)	1041318224359924331	0 2 6 8 18 20 30 32 36 38	44718403824
SPT(16)	1041318262921900081	0 16 28 42 52 72 88 108 130 150 166 186 196 210 222 238	83280379574
SPT(16)	1041318405853951469	0 18 38 102 104 110 140 192 230 282 312 318 320 384 404 422	226212430962
SPT(16)	1041318575716054291	0 18 22 60 82 88 90 102 106 118 120 126 148 186 190 208	396074533784
STPT(10)	1041318837957239069	0 2 42 44 90 92 138 140 180 182	658315718562