Prime p₀= 1276571925887273801 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: mikey
db: batch=77, k=10, 2 28 2 28 2

STPT(12)	1276571415612054767	0 2 30 32 60 62 72 74 102 104 132 134	-510275219034
SPT(16)	1276571460700485109	0 34 52 54 108 112 118 144 208 234 240 244 298 300 318 352	-465186788692
SPT(16)	1276571678793939233	0 66 84 104 116 144 146 186 194 234 236 264 276 296 314 380	-247093334568
SPT(16)	1276571756333487109	0 18 34 48 70 118 132 138 244 250 264 312 334 348 364 382	-169553786692
SPT(16)	1276571830112964347	0 26 30 42 74 114 140 152 174 186 212 252 284 296 300 326	-95774309454
STPT(10)	1276571885892094787	0 2 30 32 72 74 114 116 144 146	-39995179014
STPT(10)	1276571979490066151	0 2 6 8 48 50 90 92 96 98	53602792350
TPT(14)	1276572300462896909	0 2 42 44 132 134 138 140 162 164 168 170 222 224	374575623108
STPT(10)	1276572414384992897	0 2 30 32 42 44 54 56 84 86	488497719096
SPT(13)	1276572582336927859	0 12 18 48 60 78 90 102 120 132 162 168 180	656449654058
TPT(14)	1276573077766326269	0 2 12 14 18 20 72 74 138 140 222 224 252 254	1151879052468