Prime p₀= 1233181676522906567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Spectrum
db: batch=77, k=10, 2 28 2 40 2

SPT(16)	1233180723909165271	0 22 28 36 52 60 76 126 262 312 328 336 352 360 366 388	-952613741296
STPT(10)	1233180754165565057	0 2 30 32 72 74 114 116 144 146	-922357341510
SPT(16)	1233180829358776601	0 6 30 78 86 90 120 146 150 176 206 210 218 266 290 296	-847164129966
SPT(16)	1233181041118556279	0 38 102 110 114 162 210 260 312 362 410 458 462 470 534 572	-635404350288
STPT(10)	1233181178911452467	0 2 30 32 72 74 114 116 144 146	-497611454100
STPT(10)	1233181550065867067	0 2 30 32 42 44 54 56 84 86	-126457039500
STPT(10)	1233181838429784077	0 2 42 44 102 104 162 164 204 206	161906877510
SPT(16)	1233182018460956909	0 38 44 60 74 114 120 170 198 248 254 294 308 324 330 368	341938050342
SPT(16)	1233182198660400673	0 18 28 84 88 90 124 198 226 300 334 336 340 396 406 424	522137494106
STPT(10)	1233182313720090491	0 2 6 8 18 20 30 32 36 38	637197183924
SPT(16)	1233182453323788347	0 6 56 74 102 144 162 204 212 254 272 314 342 360 410 416	776800881780