Prime p₀= 4506376096861508657 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: Dingo
db: batch=85, k=10, 2 58 2 10 2

SPT(16)	4506374829346529201	0 98 110 116 128 186 210 240 278 308 332 390 402 408 420 518	-1267514979456
SPT(16)	4506374888700658777	0 12 40 60 90 96 112 150 196 234 250 256 286 306 334 346	-1208160849880
TPT(14)	4506375109428665321	0 2 6 8 30 32 120 122 156 158 198 200 210 212	-987432843336
SPT(16)	4506375502403582347	0 4 12 40 52 60 96 126 190 220 256 264 276 304 312 316	-594457926310
TPT(14)	4506375595129114697	0 2 90 92 102 104 180 182 222 224 282 284 324 326	-501732393960
SPT(16)	4506375815009591053	0 18 100 138 144 166 186 198 226 238 258 280 286 324 406 424	-281851917604
SPT(16)	4506376272786833201	0 8 32 42 60 66 108 162 206 260 302 308 326 336 360 368	175925324544
STPT(10)	4506376452902794439	0 2 12 14 30 32 48 50 60 62	356041285782
STPT(10)	4506376826914518737	0 2 24 26 42 44 60 62 84 86	730053010080
STPT(10)	4506376985676809597	0 2 54 56 72 74 90 92 144 146	888815300940
SPT(16)	4506377471829735421	0 22 58 76 78 126 162 190 258 286 322 370 372 390 426 448	1374968226764