Prime p₀= 2145272681294747507 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

TPT(14)	2145272260119613397	0 2 12 14 54 56 84 86 90 92 132 134 180 182	-421175134110
STPT(10)	2145272294337643439	0 2 48 50 90 92 132 134 180 182	-386957104068
TPT(14)	2145272351078873759	0 2 30 32 138 140 198 200 222 224 252 254 288 290	-330215873748
TPT(14)	2145272521528936529	0 2 78 80 162 164 198 200 228 230 300 302 408 410	-159765810978
SPT(16)	2145272549696808179	0 42 68 72 120 128 174 204 278 308 354 362 410 414 440 482	-131597939328
SPT(16)	2145272605146432197	0 44 102 116 132 134 146 164 252 270 282 284 300 314 372 416	-76148315310
STPT(10)	2145272710956282497	0 2 42 44 72 74 102 104 144 146	29661534990
TPT(14)	2145272854892716919	0 2 42 44 102 104 138 140 168 170 210 212 348 350	173597969412
SPT(16)	2145272952500708753	0 20 24 38 50 84 108 120 128 140 164 198 210 224 228 248	271205961246
SPT(16)	2145273289742635639	0 12 34 60 90 100 130 174 178 222 252 262 292 318 340 352	608447888132
SPT(16)	2145273351207278473	0 16 18 34 48 70 76 88 96 108 114 136 150 166 168 184	669912530966