Prime p₀= 1578812848717265969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 52 2 16 2 40 2 16 2 (?)
a_n: 0 2 12 14 78 80 132 134 150 152 192 194 210 212
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 212
Found by: xii5ku
db: batch=78, k=14, 10 64 52 16 40 16

SPT(16)	1578811833568807429	0 4 22 28 30 34 60 82 120 142 168 172 174 180 198 202	-1015148458540
SPT(16)	1578811839440898239	0 2 24 48 60 90 114 132 140 158 182 212 224 248 270 272	-1009276367730
STPT(10)	1578812014464737357	0 2 30 32 42 44 54 56 84 86	-834252528612
STPT(10)	1578812355816304517	0 2 30 32 42 44 54 56 84 86	-492900961452
STPT(10)	1578812441976618377	0 2 42 44 72 74 102 104 144 146	-406740647592
SPT(16)	1578812486852996281	0 22 28 52 60 66 78 108 130 160 172 178 186 210 216 238	-361864269688
SPT(16)	1578812964512482189	0 18 24 28 100 108 130 154 168 192 214 222 294 298 304 322	115795216220
STPT(10)	1578813177013665737	0 2 42 44 72 74 102 104 144 146	328296399768
STPT(10)	1578813322001799971	0 2 6 8 48 50 90 92 96 98	473284534002
SPT(16)	1578814231770271439	0 12 14 38 48 98 150 164 198 212 264 314 324 348 350 362	1383053005470
STPT(10)	1578814246834278299	0 2 18 20 30 32 42 44 60 62	1398117012330