Prime p₀= 554434061311486619 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 10 2 10 2 4 2 22 2 (?)
a_n: 0 2 18 20 30 32 42 44 48 50 72 74
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: 74
Found by: schoussi
db: batch=71, k=12, 16 10 10 4 22

SPT(14)	554433966299307317	0 44 62 72 104 132 150 164 182 210 242 252 270 314	-95012179302
SPT(14)	554433968316436309	0 10 22 40 52 82 90 184 192 222 234 252 264 274	-92995050310
SPT(14)	554433999001733533	0 30 34 48 124 148 160 168 180 204 280 294 298 328	-62309753086
SPT(14)	554434000722091361	0 36 42 48 60 72 98 120 146 158 170 176 182 218	-60589395258
SPT(14)	554434005103496743	0 24 54 96 106 136 148 156 168 198 208 250 280 304	-56207989876
SPT(14)	554434009727648971	0 6 30 40 72 100 112 126 138 166 198 208 232 238	-51583837648
SPT(14)	554434070852744321	0 50 92 116 126 140 200 228 288 302 312 336 378 428	9541257702
SPT(14)	554434078688689027	0 54 112 160 174 202 204 292 294 322 336 384 442 496	17377202408
SPT(14)	554434082144001329	0 2 12 18 74 128 180 242 294 348 404 410 420 422	20832514710
SPT(14)	554434104011054009	0 14 32 44 54 68 72 80 84 98 108 120 138 152	42699567390
SPT(14)	554434108073177551	0 36 42 46 88 102 118 120 136 150 192 196 202 238	46761690932