Prime p₀= 2259348900054030539 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2259347330937919217	0 6 24 42 62 90 132 146 150 164 206 234 254 272 290 296	-1569116111322
SPT(16)	2259347675763204263	0 14 24 98 108 144 200 224 240 264 320 356 366 440 450 464	-1224290826276
STPT(10)	2259347778689275361	0 2 6 8 48 50 90 92 96 98	-1121364755178
STPT(10)	2259348026338346759	0 2 12 14 30 32 48 50 60 62	-873715683780
TPT(14)	2259348499720881389	0 2 18 20 42 44 162 164 168 170 198 200 300 302	-400333149150
SPT(16)	2259348886559099771	0 30 38 42 78 80 102 116 132 146 168 170 206 210 218 248	-13494930768
STPT(10)	2259349045279284767	0 2 12 14 72 74 132 134 144 146	145225254228
SPT(16)	2259349119088438723	0 40 54 78 90 120 154 180 184 210 244 274 286 310 324 364	219034408184
STPT(10)	2259349604876894009	0 2 18 20 30 32 42 44 60 62	704822863470
STPT(10)	2259349710048148337	0 2 42 44 72 74 102 104 144 146	809994117798
STPT(10)	2259350039242321379	0 2 12 14 90 92 168 170 180 182	1139188290840