Prime p₀= 2156838266282622677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2156836800650683621	0 16 42 52 82 88 108 112 126 130 150 156 186 196 222 238	-1465631939056
SPT(16)	2156836932749996491	0 10 12 96 108 112 172 180 238 246 306 310 322 406 408 418	-1333532626186
STPT(10)	2156837066169832547	0 2 12 14 72 74 132 134 144 146	-1200112790130
STPT(10)	2156837406436026047	0 2 24 26 42 44 60 62 84 86	-859846596630
SPT(16)	2156838190967219167	0 6 22 42 94 106 132 192 244 304 330 342 394 414 430 436	-75315403510
SPT(16)	2156838195779110523	0 26 54 60 66 144 186 248 306 368 410 488 494 500 528 554	-70503512154
SPT(16)	2156838929119147279	0 40 48 52 102 112 168 174 178 184 240 250 300 304 312 352	662836524602
STPT(10)	2156839175290675649	0 2 42 44 90 92 138 140 180 182	909008052972
SPT(16)	2156839418500359049	0 4 78 90 94 150 160 220 228 288 298 354 358 370 444 448	1152217736372
SPT(16)	2156839618423245403	0 64 70 76 118 174 196 214 240 258 280 336 378 384 390 454	1352140622726
STPT(10)	2156839641366053249	0 2 12 14 90 92 168 170 180 182	1375083430572