Prime p₀= 2040444497861849069 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)	2040442896910793329	0 12 52 78 82 108 114 120 142 148 154 180 184 210 250 262	-1600951055740
STPT(10)	2040443510703043889	0 2 42 44 60 62 78 80 120 122	-987158805180
SPT(16)	2040443608595347231	0 6 12 30 42 52 66 70 288 292 306 316 328 346 352 358	-889266501838
TPT(14)	2040444000781386287	0 2 24 26 150 152 162 164 180 182 192 194 294 296	-497080462782
STPT(10)	2040444237774040949	0 2 42 44 90 92 138 140 180 182	-260087808120
STPT(10)	2040444444369990551	0 2 6 8 48 50 90 92 96 98	-53491858518
SPT(16)	2040445379534523673	0 34 48 66 78 138 186 210 214 238 286 346 358 376 390 424	881672674604
SPT(16)	2040445802305331867	0 12 36 50 62 80 120 150 176 206 246 264 276 290 314 326	1304443482798
STPT(10)	2040445914864159557	0 2 30 32 42 44 54 56 84 86	1417002310488
STPT(10)	2040446168604146099	0 2 18 20 30 32 42 44 60 62	1670742297030
STPT(10)	2040446792933071727	0 2 12 14 42 44 72 74 84 86	2295071222658