Prime p₀= 75504166023515939 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 28 2 10 2 46 2 10 2 (?)
a_n: 0 2 48 50 78 80 90 92 138 140 150 152
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: 152
Found by: Ralfy
db: batch=67, k=12, 46 28 10 46 10

SPT(14)	75504116768100197	0 50 56 72 86 134 144 182 192 240 254 270 276 326	-49255415742
SPT(14)	75504120607411637	0 36 60 72 102 116 120 122 126 140 170 182 206 242	-45416104302
SPT(14)	75504121045600469	0 14 50 78 144 164 188 204 228 248 314 342 378 392	-44977915470
SPT(14)	75504128328699647	0 14 54 80 120 122 170 174 222 224 264 290 330 344	-37694816292
TPT(12)	75504154253335901	0 2 18 20 30 32 78 80 120 122 156 158	-11770180038
SPT(14)	75504162712076281	0 16 18 30 58 82 96 112 126 150 178 190 192 208	-3311439658
SPT(14)	75504179251824821	0 60 78 108 170 192 200 210 218 240 302 332 350 410	13228308882
SPT(16)	75504188714563069	0 4 10 24 40 54 102 130 132 160 208 222 238 252 258 262	22691047130
SPT(14)	75504194600193223	0 16 124 130 138 160 166 258 264 286 294 300 408 424	28576677284
SPT(14)	75504196628425693	0 16 76 78 126 130 156 160 186 190 238 240 300 316	30604909754
SPT(14)	75504197856891977	0 32 54 56 90 116 144 182 210 236 270 272 294 326	31833376038