Prime p₀= 1251132131312412491 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: Theadalus
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1251130936249013717	0 2 42 44 72 74 102 104 144 146	-1195063398774
STPT(10)	1251130948241881319	0 2 18 20 30 32 42 44 60 62	-1183070531172
SPT(16)	1251130971208586509	0 4 12 34 70 90 142 160 192 210 262 282 318 340 348 352	-1160103825982
SPT(16)	1251131300832143989	0 10 42 88 118 124 130 174 178 222 228 234 264 310 342 352	-830480268502
STPT(12)	1251131502672998027	0 2 30 32 72 74 102 104 144 146 174 176	-628639414464
SPT(16)	1251131598775051099	0 28 52 60 78 82 88 112 138 162 168 172 190 198 222 250	-532537361392
STPT(10)	1251132163795440131	0 2 6 8 18 20 30 32 36 38	32483027640
STPT(10)	1251132792725337617	0 2 30 32 42 44 54 56 84 86	661412925126
STPT(10)	1251133967817905849	0 2 18 20 30 32 42 44 60 62	1836505493358
STPT(10)	1251134085666793577	0 2 12 14 42 44 72 74 84 86	1954354381086
SPT(16)	1251134179911427681	0 36 42 58 60 72 126 136 162 172 226 238 240 256 262 298	2048599015190