Prime p₀= 262724578189078301 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: davidBAM
db: batch=69, k=10, 2 4 2 10 2

SPT(14)	262724520514752143	0 38 56 66 68 78 86 150 158 168 170 180 198 236	-57674326158
SPT(16)	262724521312743359	0 20 42 48 62 90 108 162 188 242 260 288 302 308 330 350	-56876334942
SPT(14)	262724524010355581	0 38 80 96 188 206 210 236 240 258 350 366 408 446	-54178722720
SPT(14)	262724531760468571	0 16 40 82 120 132 166 192 226 238 276 318 342 358	-46428609730
SPT(16)	262724537445981263	0 8 20 38 48 80 86 90 116 120 126 158 168 186 198 206	-40743097038
SPT(14)	262724542442395703	0 20 50 108 120 126 134 150 158 164 176 234 264 284	-35746682598
TPT(12)	262724619032032007	0 2 30 32 90 92 132 134 180 182 222 224	40842953706
SPT(14)	262724638253464151	0 8 50 120 140 150 162 218 230 240 260 330 372 380	60064385850
SPT(14)	262724647675016959	0 4 24 28 48 78 94 144 160 190 210 214 234 238	69485938658
TPT(12)	262724659576571849	0 2 18 20 138 140 198 200 222 224 360 362	81387493548
SPT(14)	262724677973744027	0 110 114 164 222 224 282 332 390 392 450 500 504 614	99784665726