Prime p₀= 2726434302412310837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(18)	2726432026956375893	0 30 84 126 128 156 176 194 224 240 270 288 308 336 338 380 434 464	-2275455934944
SPT(16)	2726432262886988251	0 30 36 40 60 100 102 126 142 166 168 208 228 232 238 268	-2039525322586
STPT(12)	2726432383427092139	0 2 18 20 42 44 48 50 72 74 90 92	-1918985218698
STPT(10)	2726433371898343451	0 2 36 38 78 80 120 122 156 158	-930513967386
STPT(10)	2726433462401458721	0 2 6 8 18 20 30 32 36 38	-840010852116
SPT(16)	2726434200385735667	0 14 42 44 62 80 104 114 182 192 216 234 252 254 282 296	-102026575170
STPT(10)	2726434421463896357	0 2 30 32 42 44 54 56 84 86	119051585520
SPT(16)	2726434828708398371	0 68 72 92 102 158 168 180 200 212 222 278 288 308 312 380	526296087534
SPT(16)	2726435064973052029	0 22 58 154 168 174 192 234 238 280 298 304 318 414 450 472	762560741192
STPT(12)	2726435099476626491	0 2 18 20 90 92 156 158 228 230 246 248	797064315654
STPT(10)	2726435649274424441	0 2 6 8 48 50 90 92 96 98	1346862113604