Prime p₀= 2044101020387633237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: MarkRBright
db: batch=80, k=10, 2 28 2 28 2

STPT(10)	2044100528486197799	0 2 48 50 60 62 72 74 120 122	-491901435438
SPT(16)	2044100555774120867	0 50 56 62 74 90 92 132 134 174 176 192 204 210 216 266	-464613512370
SPT(16)	2044100622313629589	0 28 48 58 64 78 90 100 168 178 190 204 210 220 240 268	-398074003648
SPT(16)	2044100807097535079	0 54 78 80 90 134 164 174 194 204 234 278 288 290 314 368	-213290098158
STPT(10)	2044100958938224727	0 2 72 74 102 104 132 134 204 206	-61449408510
SPT(16)	2044100976008976893	0 26 108 114 284 290 308 318 326 336 354 360 530 536 618 644	-44378656344
SPT(16)	2044101354661153171	0 30 46 70 72 82 126 132 220 226 270 280 282 306 322 352	334273519934
SPT(16)	2044101459477746881	0 6 16 46 60 78 148 160 186 198 268 286 300 330 340 346	439090113644
STPT(10)	2044101947613434867	0 2 12 14 72 74 132 134 144 146	927225801630
STPT(10)	2044102800607730207	0 2 42 44 72 74 102 104 144 146	1780220096970
SPT(16)	2044102833886088501	0 12 36 56 66 78 80 108 110 138 140 152 162 182 206 218	1813498455264