Prime p₀= 144278975071254719 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 88 2 76 2 10 2 28 2 10 2 (?)
a_n: 0 2 90 92 168 170 180 182 210 212 222 224
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: 224
Found by: Tomáš Brada
db: batch=67, k=12, 88 76 10 28 10

SPT(14)	144278889040765079	0 14 44 54 60 90 98 144 152 182 188 198 228 242	-86030489640
SPT(14)	144278914474284637	0 40 76 82 112 126 130 132 136 150 180 186 222 262	-60596970082
SPT(14)	144278916894735361	0 12 36 82 90 100 118 120 138 148 156 202 226 238	-58176519358
SPT(14)	144278943500746441	0 30 48 78 106 112 118 150 156 162 190 220 238 268	-31570508278
TPT(14)	144278947881901661	0 2 78 80 90 92 96 98 168 170 210 212 246 248	-27189353058
SPT(14)	144278951927065561	0 16 28 42 48 58 82 156 180 190 196 210 222 238	-23144189158
SPT(16)	144278986276701713	0 38 48 54 68 98 104 134 180 210 216 246 260 266 276 314	11205446994
SPT(14)	144278992246976959	0 12 22 28 40 82 88 144 150 192 204 210 220 232	17175722240
SPT(14)	144278999967905909	0 14 54 60 74 108 134 168 194 228 242 248 288 302	24896651190
SPT(14)	144279005045631541	0 12 16 42 66 88 100 138 150 172 196 222 226 238	29974376822
TPT(12)	144279010187498111	0 2 6 8 48 50 126 128 186 188 198 200	35116243392