Prime p₀= 107798392697441231 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 124 2 70 2 10 2 28 2 16 2 (?)
a_n: 0 2 126 128 198 200 210 212 240 242 258 260
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: 260
Found by: vaughan
db: batch=67, k=12, 124 70 10 28 16

SPT(14)	107798328433592063	0 14 24 26 68 78 86 108 116 126 168 170 180 194	-64263849168
SPT(14)	107798331489552679	0 10 40 100 114 118 138 154 174 178 192 252 282 292	-61207888552
TPT(12)	107798334554409659	0 2 138 140 180 182 270 272 312 314 348 350	-58143031572
TPT(12)	107798353177509299	0 2 42 44 222 224 258 260 270 272 312 314	-39519931932
SPT(14)	107798365246787191	0 28 58 60 72 138 162 166 190 256 268 270 300 328	-27450654040
SPT(14)	107798366572702109	0 50 80 90 98 104 128 174 198 204 212 222 252 302	-26124739122
SPT(16)	107798395598477273	0 20 54 86 98 114 140 144 170 174 200 216 228 260 294 314	2901036042
SPT(16)	107798398678506869	0 2 12 54 60 90 102 144 170 212 224 254 260 302 312 314	5981065638
SPT(14)	107798412884331163	0 18 36 64 66 78 124 150 196 208 210 238 256 274	20186889932
SPT(14)	107798416996673069	0 2 18 20 42 44 60 62 78 80 102 104 120 122	24299231838
TPT(14)	107798416996673069	0 2 18 20 42 44 60 62 78 80 102 104 120 122	24299231838