Prime p₀= 1246527205990378889 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 64 2 142 2 64 2 10 2 (?)
a_n: 0 2 12 14 78 80 222 224 288 290 300 302
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: 302
Found by: stoneageman
db: batch=77, k=12, 2 10 2 64 2 142

STPT(10)	1246525299159622367	0 2 54 56 72 74 90 92 144 146	-1906830756522
STPT(12)	1246525480986575717	0 2 30 32 54 56 90 92 114 116 144 146	-1725003803172
SPT(16)	1246525560139661761	0 10 16 66 120 126 136 142 150 156 166 172 226 276 282 292	-1645850717128
SPT(16)	1246525733336767607	0 20 36 80 92 150 162 192 194 224 236 294 306 350 366 386	-1472653611282
TPT(14)	1246525859983071011	0 2 108 110 120 122 180 182 288 290 348 350 366 368	-1346007307878
SPT(16)	1246526767036238899	0 54 60 70 100 124 138 168 184 214 228 252 282 292 298 352	-438954139990
STPT(10)	1246527471315846659	0 2 18 20 30 32 42 44 60 62	265325467770
SPT(16)	1246527639075505343	0 6 36 74 116 140 156 170 174 188 204 228 270 308 338 344	433085126454
TPT(14)	1246528002027624179	0 2 42 44 48 50 78 80 90 92 138 140 210 212	796037245290
STPT(10)	1246528010501029379	0 2 12 14 30 32 48 50 60 62	804510650490
SPT(16)	1246528642021740751	0 18 60 72 90 136 156 160 168 172 192 238 256 268 310 328	1436031361862