Prime p₀= 1368411105124262987 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 46 2 22 2 46 2 10 2 (?)
a_n: 0 2 12 14 60 62 84 86 132 134 144 146
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: 146
Found by: stoneageman
db: batch=77, k=12, 2 10 2 46 2 22

STPT(10)	1368409274883285287	0 2 30 32 102 104 174 176 204 206	-1830240977700
STPT(10)	1368409777392660599	0 2 18 20 60 62 102 104 120 122	-1327731602388
SPT(16)	1368410508792829291	0 10 30 40 52 82 130 142 180 192 240 270 282 292 312 322	-596331433696
STPT(10)	1368410958118955591	0 2 36 38 78 80 120 122 156 158	-147005307396
SPT(16)	1368411080519535883	0 10 28 54 64 88 108 124 174 190 210 234 244 270 288 298	-24604727104
STPT(10)	1368411094749723707	0 2 42 44 72 74 102 104 144 146	-10374539280
SPT(16)	1368411345797783299	0 4 18 42 60 88 94 112 150 168 174 202 220 244 258 262	240673520312
SPT(16)	1368411369248137303	0 34 48 60 64 66 78 84 130 136 148 150 154 166 180 214	264123874316
SPT(16)	1368411428574756491	0 48 50 60 72 78 98 120 128 150 170 176 188 198 200 248	323450493504
STPT(10)	1368411693523458767	0 2 30 32 42 44 54 56 84 86	588399195780
STPT(10)	1368411814229837747	0 2 30 32 42 44 54 56 84 86	709105574760