Prime p₀= 5323463712809771 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 160 2 34 2 22 2 64 2 (?)
a_n: 0 2 18 20 180 182 216 218 240 242 306 308
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: 308
Found by: Alez
db: batch=61, k=12, 16 160 34 22 64

SPT(14)	5323436530100749	0 58 88 102 112 130 142 210 222 240 250 264 294 352	-27182709022
SPT(14)	5323436962197791	0 12 42 50 68 78 90 140 152 162 180 188 218 230	-26750611980
SPT(14)	5323439297340919	0 28 30 42 100 118 124 258 264 282 340 352 354 382	-24415468852
SPT(14)	5323444699917257	0 2 14 42 72 104 140 174 210 242 272 300 312 314	-19012892514
SPT(14)	5323447998668857	0 4 10 22 46 102 114 142 154 210 234 246 252 256	-15714140914
SPT(14)	5323459232671319	0 12 24 38 42 48 54 188 194 200 204 218 230 242	-4480138452
SPT(14)	5323466558240903	0 8 44 50 56 66 74 90 98 108 114 120 156 164	2845431132
SPT(14)	5323475825007721	0 6 28 42 52 66 72 76 82 96 106 120 142 148	12112197950
SPT(14)	5323482190881343	0 4 54 58 100 166 180 184 198 264 306 310 360 364	18478071572
TPT(12)	5323482629730899	0 2 30 32 102 104 138 140 210 212 270 272	18916921128
SPT(14)	5323485117882887	0 26 44 50 54 60 72 74 86 92 96 102 120 146	21405073116