Prime p₀= 437231254162310261 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 40 2 154 2 10 2 40 2 (?)
a_n: 0 2 78 80 120 122 276 278 288 290 330 332
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: 332
Found by: [SG-FC] hl
db: batch=70, k=12, 76 40 154 10 40

SPT(14)	437231170488432781	0 42 90 136 156 168 196 222 250 262 282 328 376 418	-83673877480
SPT(14)	437231191388454497	0 2 6 14 20 30 42 104 116 126 132 140 144 146	-62773855764
SPT(16)	437231210955805067	0 14 20 42 60 62 74 96 140 162 174 176 194 216 222 236	-43206505194
SPT(14)	437231222778468557	0 14 84 102 150 192 200 234 242 284 332 350 420 434	-31383841704
SPT(14)	437231238071407301	0 12 20 30 36 42 90 98 146 152 158 168 176 188	-16090902960
SPT(14)	437231249089785791	0 18 42 56 78 86 90 98 102 110 132 146 170 188	-5072524470
SPT(14)	437231270480705639	0 32 42 72 74 98 108 134 144 168 170 200 210 242	16318395378
TPT(12)	437231311995140951	0 2 30 32 138 140 156 158 168 170 198 200	57832830690
SPT(14)	437231327021335013	0 6 24 56 60 66 126 128 188 194 198 230 248 254	72859024752
SPT(14)	437231346946270309	0 54 58 70 114 124 130 192 198 208 252 264 268 322	92783960048
TPT(12)	437231348222738099	0 2 30 32 60 62 90 92 162 164 198 200	94060427838