Prime p₀= 2138927948964582857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: [SG-2W]Kurzer
db: batch=80, k=10, 2 52 2 16 2

SPT(16)	2138926591939561601	0 42 50 62 72 92 128 132 158 162 198 218 228 240 248 290	-1357025021256
STPT(10)	2138926866862330841	0 2 6 8 18 20 30 32 36 38	-1082102252016
STPT(10)	2138926934077572641	0 2 30 32 60 62 90 92 120 122	-1014887010216
STPT(10)	2138927065194995939	0 2 42 44 90 92 138 140 180 182	-883769586918
STPT(10)	2138927406211000589	0 2 18 20 30 32 42 44 60 62	-542753582268
SPT(16)	2138927443936260041	0 50 60 78 168 180 192 198 290 296 308 320 410 428 438 488	-505028322816
SPT(16)	2138928084570493061	0 42 60 86 96 102 110 138 170 198 206 212 222 248 266 308	135605910204
STPT(12)	2138928390786012479	0 2 12 14 42 44 78 80 108 110 120 122	441821429622
SPT(16)	2138929180144973479	0 54 90 102 142 172 202 222 370 390 420 450 490 502 538 592	1231180390622
SPT(16)	2138930283838774969	0 22 34 54 112 124 132 160 204 232 240 252 310 330 342 364	2334874192112
STPT(10)	2138930624271319337	0 2 30 32 42 44 54 56 84 86	2675306736480