Prime p₀= 1359419825042824847 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 56
Found by: HenkM
db: batch=77, k=12, 2 10 2 10 2 4

STPT(10)	1359418761696021569	0 2 48 50 90 92 132 134 180 182	-1063346803278
SPT(16)	1359418790096231119	0 34 54 72 94 100 112 138 154 180 192 198 220 238 258 292	-1034946593728
SPT(16)	1359419177901173881	0 16 22 30 72 76 118 120 148 150 192 196 238 246 252 268	-647141650966
STPT(10)	1359419530333584689	0 2 12 14 30 32 48 50 60 62	-294709240158
STPT(10)	1359419614572013361	0 2 6 8 48 50 90 92 96 98	-210470811486
SPT(16)	1359419774133044027	0 104 120 126 134 140 152 162 164 174 186 192 200 206 222 326	-50909780820
STPT(10)	1359420001912701107	0 2 30 32 42 44 54 56 84 86	176869876260
STPT(10)	1359420304286702951	0 2 126 128 138 140 150 152 276 278	479243878104
STPT(10)	1359420422924997239	0 2 78 80 120 122 162 164 240 242	597882172392
STPT(10)	1359420660682394411	0 2 6 8 48 50 90 92 96 98	835639569564
STPT(10)	1359420774510038699	0 2 18 20 30 32 42 44 60 62	949467213852