Prime p₀= 1458763245859980857 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: Theadalus
db: batch=78, k=12, 2 10 2 10 2 4

STPT(10)	1458762463119972557	0 2 30 32 42 44 54 56 84 86	-782740008300
STPT(12)	1458762467548519457	0 2 30 32 60 62 102 104 132 134 162 164	-778311461400
STPT(10)	1458762514204590611	0 2 30 32 78 80 126 128 156 158	-731655390246
SPT(16)	1458762719094226423	0 48 76 96 100 114 126 150 184 208 220 234 238 258 286 334	-526765754434
SPT(16)	1458762776780242553	0 20 26 36 60 68 74 114 200 240 246 254 278 288 294 314	-469079738304
STPT(10)	1458763216638836567	0 2 30 32 42 44 54 56 84 86	-29221144290
SPT(16)	1458763598756468713	0 18 46 76 88 106 118 120 154 156 168 186 198 228 256 274	352896487856
SPT(16)	1458763610642267557	0 34 40 42 84 112 132 150 154 172 192 220 262 264 270 304	364782286700
STPT(10)	1458763685059493777	0 2 30 32 42 44 54 56 84 86	439199512920
SPT(16)	1458764276344970719	0 22 34 60 64 120 132 174 190 232 244 300 304 330 342 364	1030484989862
SPT(16)	1458764717605186301	0 6 38 48 92 120 126 146 162 182 188 216 260 270 302 308	1471745205444