Prime p₀= 2377276799148618509 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=81, k=10, 2 16 2 10 2

SPT(16)	2377275535792655083	0 6 48 54 66 70 78 108 136 166 174 178 190 196 238 244	-1263355963426
TPT(14)	2377276458639727871	0 2 120 122 156 158 186 188 210 212 228 230 246 248	-340508890638
TPT(14)	2377276459746226037	0 2 84 86 102 104 234 236 240 242 294 296 444 446	-339402392472
SPT(18)	2377276468737224647	0 4 10 42 76 106 180 216 222 244 250 286 360 390 424 456 462 466	-330411393862
SPT(16)	2377276646383629673	0 28 30 34 60 70 90 154 174 238 258 268 294 298 300 328	-152764988836
TPT(14)	2377276768609712819	0 2 42 44 78 80 90 92 150 152 210 212 258 260	-30538905690
SPT(16)	2377277059758008741	0 2 36 48 98 156 180 182 216 218 242 300 350 362 396 398	260609390232
TPT(14)	2377277365630779629	0 2 78 80 90 92 108 110 132 134 138 140 210 212	566482161120
SPT(16)	2377277380821043111	0 12 76 88 112 166 202 210 298 306 342 396 420 432 496 508	581672424602
TPT(14)	2377277524532174189	0 2 48 50 72 74 78 80 162 164 198 200 228 230	725383555680
STPT(10)	2377277547584143049	0 2 18 20 30 32 42 44 60 62	748435524540