Prime p₀= 3741304715932179857 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] Kalianthys
db: batch=84, k=10, 2 22 2 16 2

SPT(16)	3741302769430783079	0 32 42 48 102 110 132 138 194 200 222 230 284 290 300 332	-1946501396778
SPT(16)	3741303146418615187	0 22 42 54 76 90 100 130 156 186 196 210 232 244 264 286	-1569513564670
STPT(10)	3741303274465496219	0 2 18 20 30 32 42 44 60 62	-1441466683638
SPT(16)	3741303296637422179	0 54 70 100 178 222 244 250 312 318 340 384 462 492 508 562	-1419294757678
TPT(14)	3741303415972489019	0 2 120 122 132 134 162 164 168 170 198 200 228 230	-1299959690838
SPT(16)	3741304586164807027	0 4 42 46 112 132 142 172 174 204 214 234 300 304 342 346	-129767372830
TPT(14)	3741304816520930357	0 2 24 26 72 74 150 152 210 212 252 254 270 272	100588750500
SPT(16)	3741304990179814693	0 4 10 28 34 58 100 130 138 168 210 234 240 258 264 268	274247634836
SPT(16)	3741305053325586811	0 18 72 96 106 142 180 190 228 238 276 312 322 346 400 418	337393406954
STPT(12)	3741305058136369727	0 2 42 44 84 86 90 92 132 134 174 176	342204189870
STPT(10)	3741305190942698999	0 2 12 14 90 92 168 170 180 182	475010519142