Prime p₀= 1258046163099676787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: biodoc
db: batch=77, k=10, 2 10 2 58 2

SPT(16)	1258044418723280743	0 18 36 46 48 78 136 168 178 210 268 298 300 310 328 346	-1744376396044
STPT(10)	1258044535037577809	0 2 18 20 30 32 42 44 60 62	-1628062098978
STPT(10)	1258044536545892441	0 2 90 92 108 110 126 128 216 218	-1626553784346
STPT(10)	1258044622906518659	0 2 42 44 60 62 78 80 120 122	-1540193158128
SPT(16)	1258045078128916573	0 18 34 40 90 114 118 174 220 276 280 304 354 360 376 394	-1084970760214
SPT(16)	1258045451347813267	0 60 100 130 144 150 166 192 214 240 256 262 276 306 346 406	-711751863520
SPT(16)	1258046232306345487	0 12 42 54 84 106 136 144 172 180 210 232 262 274 304 316	69206668700
SPT(16)	1258046275058113259	0 8 14 20 50 60 110 120 122 132 182 192 222 228 234 242	111958436472
SPT(16)	1258046288373793411	0 36 52 70 108 180 210 226 372 388 418 490 528 546 562 598	125274116624
STPT(10)	1258046477349813467	0 2 30 32 42 44 54 56 84 86	314250136680
STPT(10)	1258046486765578421	0 2 6 8 18 20 30 32 36 38	323665901634