Prime p₀= 115888589141389367 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 88 2 82 2 64 2 28 2 22 2 (?)
a_n: 0 2 90 92 174 176 240 242 270 272 294 296
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: 296
Found by: AlexxSaigon
db: batch=67, k=12, 88 82 64 28 22

SPT(14)	115888551963306971	0 36 56 62 66 80 92 120 132 146 150 156 176 212	-37178082396
SPT(14)	115888552884054193	0 18 34 48 70 88 138 166 216 234 256 270 286 304	-36257335174
SPT(14)	115888555804631083	0 4 28 66 78 160 174 190 204 286 298 336 360 364	-33336758284
STPT(10)	115888569958064987	0 2 30 32 72 74 114 116 144 146	-19183324380
TPT(12)	115888580939667059	0 2 42 44 60 62 102 104 108 110 198 200	-8201722308
SPT(16)	115888587278397413	0 6 18 84 86 98 110 120 194 204 216 228 230 296 308 314	-1862991954
SPT(14)	115888593080808727	0 4 40 54 70 72 84 130 142 144 160 174 210 214	3939419360
SPT(14)	115888596280003697	0 80 120 140 170 174 176 330 332 336 366 386 426 506	7138614330
SPT(14)	115888608823801907	0 60 90 92 140 146 162 230 246 252 300 302 332 392	19682412540
SPT(14)	115888610532682987	0 42 52 60 70 82 90 94 102 114 124 132 142 184	21391293620
SPT(16)	115888612868769319	0 40 64 78 94 102 108 112 120 124 130 138 154 168 192 232	23727379952