Prime p₀= 24312962317395077 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 10 2 4 2 10 2 28 2 (?)
a_n: 0 2 42 44 54 56 60 62 72 74 102 104
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: 104
Found by: Dario666
db: batch=65, k=12, 40 10 4 10 28

SPT(14)	24312922105438907	0 92 96 110 152 174 176 180 182 204 246 260 264 356	-40211956170
SPT(14)	24312923823538391	0 6 66 68 86 126 138 158 170 210 228 230 290 296	-38493856686
SPT(14)	24312924870115711	0 60 70 76 82 90 126 172 208 216 222 228 238 298	-37447279366
SPT(14)	24312925918281059	0 2 14 48 50 78 138 164 224 252 254 288 300 302	-36399114018
TPT(12)	24312930544659959	0 2 42 44 102 104 210 212 222 224 312 314	-31772735118
SPT(14)	24312958636512899	0 38 48 72 78 92 108 152 168 182 188 212 222 260	-3680882178
TPT(12)	24312978088312391	0 2 18 20 60 62 126 128 156 158 186 188	15770917314
SPT(14)	24313001542854611	0 12 26 42 48 90 122 156 188 230 236 252 266 278	39225459534
TPT(14)	24313006248855887	0 2 24 26 54 56 90 92 132 134 192 194 222 224	43931460810
SPT(14)	24313015682004857	0 20 56 62 80 96 134 252 290 306 324 330 366 386	53364609780
SPT(14)	24313018839220369	0 88 112 124 130 150 192 280 322 342 348 360 384 472	56521825292