Prime p₀= 2053672257621118787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Landjunge
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2053670724057857077	0 4 34 40 64 70 96 106 144 154 180 186 210 216 246 250	-1533563261710
STPT(10)	2053671120608323079	0 2 42 44 90 92 138 140 180 182	-1137012795708
SPT(16)	2053671218399301967	0 60 72 82 124 166 180 226 240 286 300 342 384 394 406 466	-1039221816820
SPT(16)	2053671376490584913	0 44 60 80 90 128 200 230 234 264 336 374 384 404 420 464	-881130533874
SPT(13)	2053671410403057919	0 18 48 78 90 132 210 288 330 342 372 402 420	-847218060868
SPT(16)	2053671938126591621	0 20 62 90 102 146 150 156 242 248 252 296 308 336 378 398	-319494527166
SPT(16)	2053672532262117049	0 28 30 34 40 78 114 208 240 334 370 408 414 418 420 448	274640998262
STPT(10)	2053672577089702097	0 2 60 62 72 74 84 86 144 146	319468583310
SPT(16)	2053672802280182059	0 4 72 114 142 144 162 204 208 250 268 270 298 340 408 412	544659063272
SPT(16)	2053672826133379271	0 18 36 56 60 98 116 122 126 132 150 188 192 212 230 248	568512260484
STPT(12)	2053673414994145829	0 2 42 44 120 122 132 134 210 212 252 254	1157373027042