Prime p₀= 1078258542430542659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Daniel
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1078256624491697471	0 2 6 8 18 20 30 32 36 38	-1917938845188
STPT(10)	1078257216354380729	0 2 42 44 60 62 78 80 120 122	-1326076161930
SPT(16)	1078257448581610117	0 6 22 60 126 130 132 150 172 190 192 196 262 300 316 322	-1093848932542
STPT(10)	1078258101778809839	0 2 18 20 30 32 42 44 60 62	-440651732820
TPT(14)	1078258458703331951	0 2 66 68 78 80 90 92 138 140 216 218 276 278	-83727210708
SPT(16)	1078258501244224603	0 30 46 64 70 76 84 90 130 136 144 150 156 174 190 220	-41186318056
SPT(16)	1078258596659303749	0 42 54 60 84 88 120 144 148 172 204 208 232 238 250 292	54228761090
SPT(16)	1078258753361373127	0 12 36 40 60 70 102 136 180 214 246 256 276 280 304 316	210930830468
SPT(16)	1078258777759179641	0 42 78 120 140 150 162 176 192 206 218 228 248 290 326 368	235328636982
TPT(14)	1078258872421021217	0 2 90 92 120 122 174 176 252 254 264 266 444 446	329990478558
STPT(10)	1078258946758123967	0 2 42 44 72 74 102 104 144 146	404327581308