Prime p₀= 1257841876268937101 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: stoneageman
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1257839805805445111	0 2 32 98 132 138 176 182 216 222 260 266 300 366 396 398	-2070463491990
SPT(16)	1257840162111567647	0 62 74 90 104 120 132 144 170 182 194 210 224 240 252 314	-1714157369454
STPT(10)	1257840471063004187	0 2 60 62 72 74 84 86 144 146	-1405205932914
STPT(10)	1257840740952027119	0 2 18 20 30 32 42 44 60 62	-1135316909982
STPT(10)	1257841335552202769	0 2 18 20 30 32 42 44 60 62	-540716734332
TPT(14)	1257841429675722041	0 2 126 128 138 140 150 152 168 170 300 302 306 308	-446593215060
STPT(10)	1257841933144358201	0 2 6 8 48 50 90 92 96 98	56875421100
SPT(16)	1257842088334250873	0 54 104 116 138 150 158 180 194 216 224 236 258 270 320 374	212065313772
SPT(16)	1257842114903477941	0 12 40 76 102 148 160 166 252 258 270 316 342 378 406 418	238634540840
SPT(16)	1257842198350438973	0 30 44 48 54 90 98 114 140 156 164 200 206 210 224 254	322081501872
TPT(14)	1257842646980786561	0 2 48 50 60 62 126 128 168 170 198 200 258 260	770711849460