Prime p₀= 109816341498199151 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 40 2 76 2 28 2 10 2 (?)
a_n: 0 2 6 8 48 50 126 128 156 158 168 170
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: 170
Found by: RFGuy_KCCO
db: batch=67, k=12, 4 40 76 28 10

SPT(14)	109816267493060591	0 26 60 68 72 110 140 168 198 236 240 248 282 308	-74005138560
SPT(14)	109816269691412467	0 16 22 40 42 54 66 100 112 124 126 144 150 166	-71806786684
SPT(16)	109816299894746521	0 18 30 118 142 186 208 222 256 270 292 336 360 448 460 478	-41603452630
SPT(14)	109816300878420181	0 36 42 52 66 168 178 210 220 322 336 346 352 388	-40619778970
SPT(14)	109816302666510841	0 10 22 36 42 70 76 102 108 136 142 156 168 178	-38831688310
SPT(14)	109816311458236177	0 42 70 72 84 90 100 114 124 130 142 144 172 214	-30039962974
SPT(14)	109816342831490443	0 4 16 54 88 108 136 228 256 276 310 348 360 364	1333291292
SPT(14)	109816349839487041	0 18 22 48 78 90 112 168 190 202 232 258 262 280	8341287890
TPT(12)	109816352002330409	0 2 42 44 60 62 102 104 120 122 132 134	10504131258
SPT(14)	109816353481100401	0 10 18 28 72 76 88 90 102 106 150 160 168 178	11982901250
SPT(14)	109816362344589727	0 12 54 60 100 162 172 204 214 276 316 322 364 376	20846390576