Prime p₀= 320691366730351847 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 16 2 28 2 10 2 16 2 (?)
a_n: 0 2 24 26 42 44 72 74 84 86 102 104
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: 104
Found by: Theadalus
db: batch=70, k=12, 22 16 28 10 16

SPT(14)	320691299756183201	0 26 72 96 98 108 110 228 230 240 242 266 312 338	-66974168646
SPT(14)	320691304663437109	0 10 54 58 94 120 210 232 322 348 384 388 432 442	-62066914738
SPT(14)	320691326245250357	0 42 50 60 96 102 116 126 140 146 182 192 200 242	-40485101490
SPT(14)	320691333453384739	0 58 70 82 118 174 198 304 328 384 420 432 444 502	-33276967108
SPT(14)	320691342191635141	0 18 90 96 100 102 108 160 166 168 172 178 250 268	-24538716706
TPT(12)	320691343170889721	0 2 18 20 30 32 60 62 90 92 156 158	-23559462126
TPT(12)	320691373769568341	0 2 78 80 210 212 246 248 336 338 390 392	7039216494
SPT(16)	320691401132049613	0 18 30 78 96 106 150 156 178 184 228 238 256 304 316 334	34401697766
SPT(14)	320691417577280329	0 4 24 28 42 54 60 82 88 100 114 118 138 142	50846928482
SPT(14)	320691468617130881	0 20 36 48 72 86 92 96 102 116 140 152 168 188	101886779034
SPT(14)	320691480207915031	0 42 46 48 52 118 132 166 180 246 250 252 256 298	113477563184