Prime p₀= 144286962804625337 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 88 2 10 2 16 2 130 2 (?)
a_n: 0 2 12 14 102 104 114 116 132 134 264 266
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: 266
Found by: Farscape
db: batch=67, k=12, 10 88 10 16 130

SPT(14)	144286902186178327	0 4 52 66 76 132 154 192 214 270 280 294 342 346	-60618447010
SPT(16)	144286918053220681	0 22 30 36 48 82 90 100 138 148 156 190 202 208 216 238	-44751404656
STPT(10)	144286926689219927	0 2 30 32 42 44 54 56 84 86	-36115405410
SPT(14)	144286936752539557	0 4 30 70 82 100 124 162 186 204 216 256 282 286	-26052085780
SPT(14)	144286953689882671	0 30 42 48 76 82 90 118 126 132 160 166 178 208	-9114742666
SPT(14)	144286957461232213	0 4 28 40 60 130 144 154 168 238 258 270 294 298	-5343393124
TPT(12)	144286982050416839	0 2 18 20 60 62 72 74 102 104 138 140	19245791502
TPT(12)	144286982742256631	0 2 90 92 96 98 180 182 186 188 210 212	19937631294
SPT(14)	144287010043857067	0 52 102 136 144 162 232 234 304 322 330 364 414 466	47239231730
SPT(14)	144287012940541907	0 2 20 56 62 80 90 122 132 150 156 192 210 212	50135916570
SPT(14)	144287018579964061	0 16 58 70 88 112 156 172 216 240 258 270 312 328	55775338724