Prime p₀= 2112002110590835427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 28 2 10 2

TPT(14)	2112000628679828321	0 2 30 32 66 68 78 80 120 122 138 140 156 158	-1481911007106
SPT(16)	2112000744671878871	0 62 122 156 180 188 230 240 308 318 360 368 392 426 486 548	-1365918956556
STPT(10)	2112001372937517119	0 2 42 44 60 62 78 80 120 122	-737653318308
TPT(14)	2112001399882211639	0 2 42 44 60 62 102 104 180 182 198 200 222 224	-710708623788
SPT(16)	2112001752625653407	0 2 32 36 126 134 204 212 234 242 312 320 410 414 444 446	-357965182020
SPT(16)	2112001795208634943	0 28 48 54 66 70 84 96 208 220 234 238 250 256 276 304	-315382200484
SPT(16)	2112002157092305523	0 36 50 104 110 114 134 170 180 216 236 240 246 300 314 350	46501470096
SPT(16)	2112002586604606411	0 18 30 58 60 66 78 106 150 178 190 196 198 226 238 256	476013770984
STPT(10)	2112003002854364687	0 2 12 14 42 44 72 74 84 86	892263529260
STPT(10)	2112003217796877281	0 2 30 32 60 62 90 92 120 122	1107206041854
TPT(14)	2112003280872946061	0 2 96 98 126 128 186 188 198 200 228 230 276 278	1170282110634