Prime p₀= 1253191110876059651 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: HenkM
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1253189760577768829	0 2 12 14 30 32 48 50 60 62	-1350298290822
STPT(10)	1253189861771199431	0 2 30 32 78 80 126 128 156 158	-1249104860220
SPT(16)	1253189966048050523	0 6 8 50 78 86 104 110 114 120 138 146 174 216 218 224	-1144828009128
SPT(16)	1253190002576929103	0 24 30 44 66 114 120 156 164 200 206 254 276 290 296 320	-1108299130548
SPT(16)	1253190352645396441	0 28 48 82 96 108 160 162 196 198 250 262 276 310 330 358	-758230663210
STPT(10)	1253190888009906617	0 2 30 32 72 74 114 116 144 146	-222866153034
SPT(16)	1253191360788182203	0 48 64 76 126 156 178 240 244 306 328 358 408 420 436 484	249912122552
STPT(10)	1253191650512851451	0 2 78 80 108 110 138 140 216 218	539636791800
STPT(10)	1253191985463787709	0 2 18 20 30 32 42 44 60 62	874587728058
SPT(16)	1253192185159296359	0 14 32 68 98 104 138 150 182 194 228 234 264 300 318 332	1074283236708
SPT(16)	1253192282909924053	0 16 30 34 60 88 114 130 144 160 186 214 240 244 258 274	1172033864402