Prime p₀= 120114990145631027 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 28 2 28 2 34 2 28 2 (?)
a_n: 0 2 24 26 54 56 84 86 120 122 150 152
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: 152
Found by: [SG-2W]Kurzer
db: batch=67, k=12, 22 28 28 34 28

SPT(14)	120114936523341481	0 18 22 78 106 108 142 156 190 192 220 276 280 298	-53622289546
SPT(14)	120114944512853231	0 32 42 60 62 68 78 110 120 126 128 146 156 188	-45632777796
SPT(14)	120114965684453239	0 40 54 64 70 82 108 154 180 192 198 208 222 262	-24461177788
SPT(14)	120114979230719593	0 46 54 66 136 186 240 250 304 354 424 436 444 490	-10914911434
SPT(14)	120114979409074717	0 12 22 34 64 82 96 100 114 132 162 174 184 196	-10736556310
SPT(14)	120114989159736121	0 12 70 118 150 220 232 276 288 358 390 438 496 508	-985894906
SPT(14)	120115016274256303	0 4 46 48 150 156 186 208 238 244 346 348 390 394	26128625276
TPT(12)	120115021429811897	0 2 30 32 102 104 144 146 240 242 264 266	31284180870
SPT(14)	120115024139807911	0 22 78 82 88 96 112 156 172 180 186 190 246 268	33994176884
SPT(16)	120115028268207871	0 10 28 78 96 100 118 150 166 198 216 220 238 288 306 316	38122576844
SPT(14)	120115031865738517	0 10 34 40 72 84 90 136 142 154 186 192 216 226	41720107490