Prime p₀= 2312203913137680389 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Landjunge
db: batch=81, k=10, 2 40 2 16 2

STPT(10)	2312201537253110687	0 2 30 32 60 62 90 92 120 122	-2375884569702
SPT(16)	2312201857014962179	0 12 22 42 54 64 82 94 138 150 168 178 190 210 220 232	-2056122718210
STPT(10)	2312202596712024221	0 2 6 8 18 20 30 32 36 38	-1316425656168
STPT(10)	2312202600055518407	0 2 30 32 42 44 54 56 84 86	-1313082161982
SPT(16)	2312203671408581749	0 22 24 52 78 112 148 234 238 324 360 394 420 448 450 472	-241729098640
SPT(16)	2312203854499005391	0 18 22 30 36 52 60 100 198 238 246 262 268 276 280 298	-58638674998
SPT(16)	2312203983433054573	0 66 70 90 150 154 174 184 210 220 240 244 304 324 328 394	70295374184
STPT(10)	2312204153117735867	0 2 12 14 42 44 72 74 84 86	239980055478
STPT(10)	2312204216353944509	0 2 42 44 60 62 78 80 120 122	303216264120
SPT(16)	2312205106271571677	0 12 20 56 60 110 116 200 216 300 306 356 360 396 404 416	1193133891288
SPT(16)	2312205117256306243	0 6 58 88 100 108 136 180 214 258 286 294 306 336 388 394	1204118625854