Prime p₀= 2037056736707043809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2037055524414615701	0 2 6 8 36 38 78 80 96 98 120 122 138 140	-1212292428108
STPT(10)	2037055848393234341	0 2 30 32 78 80 126 128 156 158	-888313809468
SPT(16)	2037056390466418003	0 28 46 60 90 126 174 184 300 310 358 394 424 438 456 484	-346240625806
SPT(16)	2037056554924332323	0 6 30 54 56 104 176 210 224 258 330 378 380 404 428 434	-181782711486
STPT(12)	2037056666321247719	0 2 12 14 42 44 78 80 108 110 120 122	-70385796090
SPT(16)	2037056679219576271	0 12 28 46 60 70 82 90 118 126 138 148 162 180 196 208	-57487467538
STPT(10)	2037056793680280257	0 2 54 56 72 74 90 92 144 146	56973236448
STPT(10)	2037056831197966397	0 2 120 122 180 182 240 242 360 362	94490922588
TPT(14)	2037057075123168179	0 2 30 32 42 44 90 92 132 134 180 182 228 230	338416124370
SPT(16)	2037057079323434039	0 14 98 104 138 180 198 200 282 284 302 344 378 384 468 482	342616390230
SPT(16)	2037057229265537261	0 32 72 90 168 182 186 198 200 212 216 230 308 326 366 398	492558493452