Prime p₀= 812451247265319689 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: [SG]FX
db: batch=73, k=10, 2 16 2 10 2

STPT(10)	812450316670417067	0 2 30 32 42 44 54 56 84 86	-930594902622
SPT(16)	812450816037278969	0 38 48 50 108 182 194 222 260 288 300 374 432 434 444 482	-431228040720
TPT(14)	812450839303476251	0 2 30 32 48 50 90 92 180 182 216 218 228 230	-407961843438
STPT(10)	812451014154454769	0 2 48 50 90 92 132 134 180 182	-233110864920
STPT(10)	812451156272422391	0 2 6 8 48 50 90 92 96 98	-90992897298
SPT(16)	812451177462205717	0 16 24 34 100 102 112 130 156 174 184 186 252 262 270 286	-69803113972
SPT(16)	812451273172861877	0 36 42 126 140 144 146 176 210 240 242 246 260 344 350 386	25907542188
STPT(10)	812451435890432519	0 2 18 20 30 32 42 44 60 62	188625112830
SPT(16)	812451594235366429	0 12 54 100 112 114 120 130 222 232 238 240 252 298 340 352	346970046740
SPT(16)	812451990064709161	0 40 60 70 82 88 96 112 126 142 150 156 168 178 198 238	742799389472
STPT(10)	812452042714524239	0 2 18 20 30 32 42 44 60 62	795449204550