Prime p₀= 2053672577089702097 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: Landjunge
db: batch=80, k=10, 2 58 2 10 2

SPT(16)	2053671218399301967	0 60 72 82 124 166 180 226 240 286 300 342 384 394 406 466	-1358690400130
SPT(16)	2053671376490584913	0 44 60 80 90 128 200 230 234 264 336 374 384 404 420 464	-1200599117184
SPT(13)	2053671410403057919	0 18 48 78 90 132 210 288 330 342 372 402 420	-1166686644178
SPT(16)	2053671938126591621	0 20 62 90 102 146 150 156 242 248 252 296 308 336 378 398	-638963110476
STPT(10)	2053672257621118787	0 2 42 44 72 74 102 104 144 146	-319468583310
SPT(16)	2053672532262117049	0 28 30 34 40 78 114 208 240 334 370 408 414 418 420 448	-44827585048
SPT(16)	2053672802280182059	0 4 72 114 142 144 162 204 208 250 268 270 298 340 408 412	225190479962
SPT(16)	2053672826133379271	0 18 36 56 60 98 116 122 126 132 150 188 192 212 230 248	249043677174
STPT(12)	2053673414994145829	0 2 42 44 120 122 132 134 210 212 252 254	837904443732
STPT(10)	2053673681778115697	0 2 24 26 42 44 60 62 84 86	1104688413600
SPT(16)	2053673755478779921	0 6 28 40 42 48 88 106 312 330 370 376 378 390 412 418	1178389077824