Prime p₀= 1235057196756057971 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: Donn Pike (USAF Ret)
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1235053421330353277	0 6 24 30 44 56 60 86 144 170 174 186 200 206 224 230	-3775425704694
STPT(10)	1235053564608028367	0 2 42 44 72 74 102 104 144 146	-3632148029604
STPT(10)	1235053989278728649	0 2 30 32 60 62 90 92 120 122	-3207477329322
SPT(16)	1235055253107848141	0 32 56 60 98 110 146 156 212 222 258 270 308 312 336 368	-1943648209830
SPT(16)	1235055812924237911	0 6 10 12 22 76 126 136 162 172 222 276 286 288 292 298	-1383831820060
SPT(16)	1235056366754329423	0 28 76 124 156 168 196 220 264 288 316 328 360 408 456 484	-830001728548
TPT(14)	1235057292311458541	0 2 6 8 48 50 78 80 126 128 156 158 168 170	95555400570
TPT(14)	1235057638612664819	0 2 120 122 348 350 372 374 402 404 408 410 432 434	441856606848
STPT(10)	1235057831470707899	0 2 48 50 90 92 132 134 180 182	634714649928
STPT(10)	1235057953126097039	0 2 18 20 30 32 42 44 60 62	756370039068
SPT(16)	1235058170233061737	0 30 34 66 76 112 142 150 226 234 264 300 310 342 346 376	973477003766