Prime p₀= 224237381681382449 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 34 2 10 2 40 2 (?)
a_n: 0 2 30 32 42 44 78 80 90 92 132 134
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: 134
Found by: Ralfy
db: batch=69, k=12, 28 10 34 10 40

SPT(14)	224237299435726433	0 6 26 48 90 98 120 194 216 224 266 288 308 314	-82245656016
SPT(14)	224237306919315167	0 24 44 62 122 140 150 206 216 234 294 312 332 356	-74762067282
SPT(14)	224237322729050989	0 18 22 40 42 70 78 172 180 208 210 228 232 250	-58952331460
SPT(14)	224237325819908129	0 2 42 50 78 84 92 150 158 164 192 200 240 242	-55861474320
SPT(14)	224237372231839619	0 24 42 44 60 72 108 164 200 212 228 230 248 272	-9449542830
TPT(12)	224237373502221059	0 2 78 80 138 140 162 164 180 182 198 200	-8179161390
SPT(14)	224237413245565847	0 14 84 86 114 122 140 186 204 212 240 242 312 326	31564183398
SPT(14)	224237426393907793	0 18 28 40 60 94 130 138 174 208 228 240 250 268	44712525344
TPT(12)	224237442458978369	0 2 12 14 42 44 78 80 150 152 282 284	60777595920
TPT(14)	224237457206282519	0 2 30 32 102 104 150 152 192 194 282 284 348 350	75524900070
SPT(14)	224237463276719429	0 8 14 18 50 54 78 80 104 108 140 144 150 158	81595336980