Prime p₀= 2037056831197966397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 118 2 58 2 58 2 118 2 (?)
a_n: 0 2 120 122 180 182 240 242 360 362
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: 362
Found by: Landjunge
db: batch=80, k=10, 2 118 2 58 2

SPT(16)	2037056390466418003	0 28 46 60 90 126 174 184 300 310 358 394 424 438 456 484	-440731548394
SPT(16)	2037056554924332323	0 6 30 54 56 104 176 210 224 258 330 378 380 404 428 434	-276273634074
STPT(12)	2037056666321247719	0 2 12 14 42 44 78 80 108 110 120 122	-164876718678
SPT(16)	2037056679219576271	0 12 28 46 60 70 82 90 118 126 138 148 162 180 196 208	-151978390126
STPT(10)	2037056736707043809	0 2 18 20 30 32 42 44 60 62	-94490922588
STPT(10)	2037056793680280257	0 2 54 56 72 74 90 92 144 146	-37517686140
TPT(14)	2037057075123168179	0 2 30 32 42 44 90 92 132 134 180 182 228 230	243925201782
SPT(16)	2037057079323434039	0 14 98 104 138 180 198 200 282 284 302 344 378 384 468 482	248125467642
SPT(16)	2037057229265537261	0 32 72 90 168 182 186 198 200 212 216 230 308 326 366 398	398067570864
SPT(16)	2037057380642954027	0 12 24 56 66 86 182 204 212 234 330 350 360 392 404 416	549444987630
STPT(12)	2037057980928836267	0 2 42 44 54 56 120 122 132 134 174 176	1149730869870