Prime p₀= 22116472919354291 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 10 2 28 2 64 2 40 2 (?)
a_n: 0 2 18 20 30 32 60 62 126 128 168 170
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: paulteo
db: batch=65, k=12, 16 10 28 64 40

SPT(14)	22116444055058597	0 2 56 72 80 96 102 110 116 132 140 156 210 212	-28864295694
SPT(14)	22116445178275069	0 4 18 24 48 52 70 72 90 94 118 124 138 142	-27741079222
SPT(14)	22116458556305053	0 54 78 84 168 178 180 208 210 220 304 310 334 388	-14363049238
SPT(14)	22116458992911079	0 10 18 30 52 58 60 82 84 90 112 124 132 142	-13926443212
SPT(14)	22116468622143053	0 44 54 68 78 96 116 138 158 176 186 200 210 254	-4297211238
TPT(12)	22116470898739277	0 2 12 14 30 32 60 62 90 92 102 104	-2020615014
SPT(14)	22116480917560661	0 30 60 66 90 140 186 212 258 308 332 338 368 398	7998206370
SPT(14)	22116486299996509	0 18 24 42 58 70 72 100 102 114 130 148 154 172	13380642218
SPT(14)	22116506744622011	0 30 36 38 50 68 86 120 138 156 168 170 176 206	33825267720
SPT(14)	22116508091814517	0 6 72 82 84 142 154 222 234 292 294 304 370 376	35172460226
SPT(14)	22116513731399743	0 6 10 24 34 36 64 90 118 120 130 144 148 154	40812045452