Prime p₀= 115350159922139687 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 40 2 64 2 160 2 (?)
a_n: 0 2 30 32 42 44 84 86 150 152 312 314
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: 314
Found by: emoga
db: batch=67, k=12, 28 10 40 64 160

TPT(12)	115350079428817619	0 2 42 44 72 74 78 80 222 224 240 242	-80493322068
TPT(12)	115350081950706287	0 2 12 14 84 86 114 116 222 224 234 236	-77971433400
SPT(14)	115350082657051241	0 2 42 90 140 180 182 240 242 282 332 380 420 422	-77265088446
SPT(14)	115350104291805389	0 24 48 62 122 188 200 222 234 300 360 374 398 422	-55630334298
SPT(14)	115350119309379379	0 22 34 40 42 60 78 94 112 130 132 138 150 172	-40612760308
SPT(14)	115350124267380857	0 30 32 72 140 152 162 260 270 282 350 390 392 422	-35654758830
SPT(14)	115350171615536437	0 6 30 34 90 94 100 150 156 160 216 220 244 250	11693396750
STPT(10)	115350174016122341	0 2 6 8 18 20 30 32 36 38	14093982654
SPT(14)	115350215008968983	0 18 38 54 60 68 84 134 150 158 164 180 200 218	55086829296
SPT(14)	115350219538575611	0 6 50 120 122 126 162 170 206 210 212 282 326 332	59616435924
SPT(14)	115350223864163663	0 20 30 36 50 60 68 78 86 96 110 116 126 146	63942023976