Prime p₀= 2034733529599520777 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: Dingo
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2034731679943077043	0 4 24 40 88 90 108 130 168 190 208 210 258 274 294 298	-1849656443734
SPT(16)	2034731898654948191	0 26 30 48 86 98 152 156 182 186 240 252 290 308 312 338	-1630944572586
TPT(14)	2034731903235502397	0 2 12 14 24 26 54 56 90 92 120 122 252 254	-1626364018380
TPT(14)	2034731972786573309	0 2 60 62 198 200 240 242 348 350 432 434 450 452	-1556812947468
STPT(10)	2034732330648969977	0 2 54 56 132 134 210 212 264 266	-1198950550800
SPT(16)	2034732880942787521	0 30 42 58 66 72 100 108 160 168 196 202 210 226 238 268	-648656733256
SPT(16)	2034734111205876019	0 10 30 52 90 112 154 168 184 198 240 262 300 322 342 352	581606355242
SPT(16)	2034734619339160033	0 10 16 78 88 124 126 138 196 208 210 246 256 318 324 334	1089739639256
STPT(10)	2034734628769885709	0 2 18 20 30 32 42 44 60 62	1099170364932
STPT(10)	2034734898231216299	0 2 18 20 30 32 42 44 60 62	1368631695522
STPT(10)	2034735182602020011	0 2 36 38 78 80 120 122 156 158	1653002499234