Prime p₀= 2044101947613434867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Dingo
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2044100807097535079	0 54 78 80 90 134 164 174 194 204 234 278 288 290 314 368	-1140515899788
STPT(10)	2044100958938224727	0 2 72 74 102 104 132 134 204 206	-988675210140
SPT(16)	2044100976008976893	0 26 108 114 284 290 308 318 326 336 354 360 530 536 618 644	-971604457974
STPT(10)	2044101020387633237	0 2 30 32 60 62 90 92 120 122	-927225801630
SPT(16)	2044101354661153171	0 30 46 70 72 82 126 132 220 226 270 280 282 306 322 352	-592952281696
SPT(16)	2044101459477746881	0 6 16 46 60 78 148 160 186 198 268 286 300 330 340 346	-488135687986
STPT(10)	2044102800607730207	0 2 42 44 72 74 102 104 144 146	852994295340
SPT(16)	2044102833886088501	0 12 36 56 66 78 80 108 110 138 140 152 162 182 206 218	886272653634
STPT(10)	2044102879279894799	0 2 42 44 60 62 78 80 120 122	931666459932
SPT(16)	2044103258304472999	0 22 28 54 72 88 148 162 190 204 264 280 298 324 330 352	1310691038132
TPT(14)	2044103378982343949	0 2 18 20 30 32 90 92 132 134 210 212 228 230	1431368909082