Prime p₀= 2123268673126376981 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: arkiss
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2123266613062444517	0 20 24 44 66 90 180 222 224 266 356 380 402 422 426 446	-2060063932464
SPT(16)	2123267367092662669	0 22 48 58 64 72 84 160 162 238 250 258 264 274 300 322	-1306033714312
SPT(16)	2123267399916600181	0 10 12 46 66 76 90 100 168 178 192 202 222 256 258 268	-1273209776800
STPT(10)	2123267887557677207	0 2 12 14 42 44 72 74 84 86	-785568699774
STPT(10)	2123267990358655157	0 2 42 44 132 134 222 224 264 266	-682767721824
STPT(10)	2123268411760860779	0 2 18 20 30 32 42 44 60 62	-261365516202
SPT(16)	2123268683701858019	0 62 74 110 132 140 150 188 264 302 312 320 342 378 390 452	10575481038
SPT(16)	2123268952463209261	0 36 72 76 118 130 132 156 172 196 198 210 252 256 292 328	279336832280
STPT(10)	2123269022231583407	0 2 24 26 42 44 60 62 84 86	349105206426
STPT(10)	2123269492070888771	0 2 36 38 78 80 120 122 156 158	818944511790
SPT(16)	2123269516915695697	0 22 30 40 64 96 120 142 204 226 250 282 306 316 324 346	843789318716