Prime p₀= 2539178306581828517 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Cyph3r
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2539176537514934173	0 90 124 154 178 184 198 250 294 346 360 366 390 420 454 544	-1769066894344
STPT(10)	2539176885147621527	0 2 54 56 72 74 90 92 144 146	-1421434206990
TPT(14)	2539176909655352957	0 2 12 14 72 74 102 104 144 146 174 176 240 242	-1396926475560
SPT(16)	2539177070996305613	0 54 56 96 104 180 210 224 240 254 284 360 368 408 410 464	-1235585522904
SPT(16)	2539177340372647993	0 28 40 84 90 124 130 144 184 198 204 238 244 288 300 328	-966209180524
SPT(16)	2539177926493363189	0 24 28 30 34 82 94 108 184 198 210 258 262 264 268 292	-380088465328
STPT(10)	2539178551434409349	0 2 48 50 90 92 132 134 180 182	244852580832
TPT(14)	2539178782061213309	0 2 12 14 90 92 138 140 162 164 222 224 252 254	475479384792
SPT(16)	2539179067373926981	0 66 70 76 82 112 148 168 190 210 246 276 282 288 292 358	760792098464
TPT(14)	2539179324203904251	0 2 6 8 18 20 36 38 48 50 60 62 78 80	1017622075734
STPT(10)	2539179324203904269	0 2 18 20 30 32 42 44 60 62	1017622075752