Prime p₀= 403033026198146189 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 40 2 10 2 34 2 28 2 (?)
a_n: 0 2 18 20 60 62 72 74 108 110 138 140
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: 140
Found by: Cruncher Pete
db: batch=70, k=12, 16 40 10 34 28

SPT(14)	403032985216670881	0 10 18 22 36 76 88 90 102 142 156 160 168 178	-40981475308
SPT(14)	403032991402230841	0 28 36 40 66 70 78 100 108 112 138 142 150 178	-34795915348
SPT(14)	403032993832660097	0 30 36 86 96 102 140 156 194 200 210 260 266 296	-32365486092
TPT(12)	403033004004172109	0 2 162 164 192 194 240 242 252 254 360 362	-22193974080
TPT(12)	403033008852662567	0 2 30 32 84 86 162 164 222 224 240 242	-17345483622
SPT(14)	403033019556027869	0 38 72 114 164 182 204 248 270 288 338 380 414 452	-6642118320
SPT(14)	403033048272427283	0 74 78 90 110 146 200 204 258 294 314 326 330 404	22074281094
SPT(14)	403033062677073749	0 8 30 42 68 78 84 98 104 114 140 152 174 182	36478927560
SPT(14)	403033069889058559	0 48 60 84 100 118 124 144 150 168 184 208 220 268	43690912370
SPT(14)	403033098786820147	0 16 42 70 72 94 106 120 132 154 156 184 210 226	72588673958
SPT(14)	403033114125905149	0 12 24 40 54 94 130 132 168 208 222 238 250 262	87927758960