Prime p₀= 1578812014464737357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: xii5ku
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1578810781821690007	0 6 22 24 70 76 90 142 174 226 240 246 292 294 310 316	-1232643047350
SPT(16)	1578811152267064673	0 6 38 60 84 138 156 188 276 308 326 380 404 426 458 464	-862197672684
STPT(10)	1578811313667514559	0 2 42 44 90 92 138 140 180 182	-700797222798
STPT(10)	1578811701993490331	0 2 6 8 48 50 90 92 96 98	-312471247026
SPT(16)	1578811833568807429	0 4 22 28 30 34 60 82 120 142 168 172 174 180 198 202	-180895929928
SPT(16)	1578811839440898239	0 2 24 48 60 90 114 132 140 158 182 212 224 248 270 272	-175023839118
STPT(10)	1578812355816304517	0 2 30 32 42 44 54 56 84 86	341351567160
STPT(10)	1578812441976618377	0 2 42 44 72 74 102 104 144 146	427511881020
SPT(16)	1578812486852996281	0 22 28 52 60 66 78 108 130 160 172 178 186 210 216 238	472388258924
TPT(14)	1578812848717265969	0 2 12 14 78 80 132 134 150 152 192 194 210 212	834252528612
SPT(16)	1578812964512482189	0 18 24 28 100 108 130 154 168 192 214 222 294 298 304 322	950047744832