Prime p₀= 2857848520842127427 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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	2857847087118142307	0 2 24 26 60 62 102 104 180 182 222 224 240 242	-1433723985120
STPT(10)	2857847274809632877	0 2 30 32 72 74 114 116 144 146	-1246032494550
TPT(14)	2857847326293758597	0 2 12 14 42 44 120 122 162 164 192 194 504 506	-1194548368830
SPT(16)	2857847581156407769	0 28 94 102 172 178 222 262 270 310 354 360 430 438 504 532	-939685719658
TPT(14)	2857847711612851367	0 2 54 56 102 104 132 134 210 212 222 224 252 254	-809229276060
SPT(16)	2857847937780206551	0 6 46 70 90 136 138 196 270 328 330 376 396 420 460 466	-583061920876
STPT(10)	2857849266708767039	0 2 42 44 60 62 78 80 120 122	745866639612
STPT(10)	2857849269313561217	0 2 30 32 60 62 90 92 120 122	748471433790
SPT(16)	2857849371981492859	0 18 24 28 40 42 48 70 102 124 130 132 144 148 154 172	851139365432
STPT(10)	2857849590364493909	0 2 18 20 30 32 42 44 60 62	1069522366482
TPT(14)	2857849623538758257	0 2 24 26 54 56 90 92 162 164 180 182 294 296	1102696630830