Prime p₀= 2068663741689382379 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 10 2 76 2

SPT(16)	2068662017660011883	0 30 50 54 110 120 126 218 246 338 344 354 410 414 434 464	-1724029370496
STPT(10)	2068662458129698307	0 2 30 32 60 62 90 92 120 122	-1283559684072
SPT(16)	2068663409207153581	0 12 70 72 88 102 132 138 160 166 196 210 226 228 286 298	-332482228798
TPT(14)	2068663538257638989	0 2 30 32 78 80 102 104 132 134 240 242 330 332	-203431743390
STPT(10)	2068663572069716261	0 2 6 8 48 50 90 92 96 98	-169619666118
SPT(16)	2068663698347827687	0 10 30 36 40 54 106 124 126 144 196 210 214 220 240 250	-43341554692
STPT(10)	2068663890265848047	0 2 30 32 42 44 54 56 84 86	148576465668
SPT(16)	2068663956831880013	0 8 36 78 140 170 228 266 498 536 594 624 686 728 756 764	215142497634
SPT(16)	2068664025624972253	0 34 46 70 90 100 190 196 234 240 330 340 360 384 396 430	283935589874
STPT(12)	2068664265831977069	0 2 12 14 18 20 42 44 48 50 60 62	524142594690
SPT(16)	2068664310546684203	0 8 38 44 78 84 108 114 140 146 170 176 210 216 246 254	568857301824