Prime p₀= 94316745645192701 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 52 2 16 2 28 2 76 2 (?)
a_n: 0 2 66 68 120 122 138 140 168 170 246 248
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: 248
Found by: gaballus
db: batch=67, k=12, 64 52 16 28 76

SPT(14)	94316715086442479	0 44 50 60 72 78 102 140 164 170 182 192 198 242	-30558750222
SPT(14)	94316725415310473	0 26 48 50 104 110 116 168 174 180 234 236 258 284	-20229882228
SPT(14)	94316726426025991	0 6 10 72 112 118 132 136 150 156 196 258 262 268	-19219166710
SPT(14)	94316727759936751	0 28 42 46 70 102 130 138 166 198 222 226 240 268	-17885255950
SPT(14)	94316734010595347	0 12 26 42 60 62 84 212 234 236 254 270 284 296	-11634597354
SPT(14)	94316737958840623	0 28 48 64 76 78 90 94 106 108 120 136 156 184	-7686352078
SPT(14)	94316773590350771	0 32 36 38 42 56 62 96 102 116 120 122 126 158	27945158070
TPT(12)	94316798063973179	0 2 60 62 90 92 102 104 120 122 132 134	52418780478
SPT(14)	94316805761524471	0 12 28 42 52 66 72 136 142 156 166 180 196 208	60116331770
STPT(10)	94316810210415017	0 2 30 32 42 44 54 56 84 86	64565222316
SPT(14)	94316819003597809	0 12 24 28 54 58 142 300 384 388 414 418 430 442	73358405108