Prime p₀= 125109612901844687 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 10 2 16 2 40 2 16 2 (?)
a_n: 0 2 42 44 54 56 72 74 114 116 132 134
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: 134
Found by: Egon olsen
db: batch=67, k=12, 40 10 16 40 16

SPT(14)	125109555577820447	0 12 84 86 104 144 152 174 182 222 240 242 314 326	-57324024240
SPT(14)	125109572966806591	0 22 42 48 66 70 106 132 168 172 190 196 216 238	-39935038096
SPT(14)	125109577796910403	0 36 60 138 156 190 204 250 264 298 316 394 418 454	-35104934284
TPT(12)	125109594061053071	0 2 30 32 108 110 138 140 150 152 240 242	-18840791616
SPT(14)	125109596280155057	0 2 6 26 36 116 120 152 156 236 246 266 270 272	-16621689630
SPT(16)	125109608270433949	0 24 52 84 88 108 120 130 162 172 184 204 208 240 268 292	-4631410738
SPT(14)	125109619399842313	0 4 60 70 84 118 126 208 216 250 264 274 330 334	6497997626
SPT(14)	125109621785781749	0 18 44 74 114 120 132 140 152 158 198 228 254 272	8883937062
SPT(14)	125109638476035289	0 10 18 72 82 88 102 208 222 228 238 292 300 310	25574190602
SPT(14)	125109653831994631	0 22 42 78 88 108 112 126 130 150 160 196 216 238	40930149944
TPT(12)	125109655888319957	0 2 30 32 72 74 84 86 150 152 162 164	42986475270