Prime p₀= 5537094706895021 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 22 2 58 2 46 2 16 2 (?)
a_n: 0 2 6 8 30 32 90 92 138 140 156 158
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: 158
Found by: Egon olsen
db: batch=62, k=12, 4 22 58 46 16

SPT(14)	5537078753612993	0 44 48 66 80 108 156 248 296 324 338 356 360 404	-15953282028
SPT(14)	5537091411140323	0 4 58 60 88 108 160 168 220 240 268 270 324 328	-3295754698
SPT(14)	5537091548210581	0 6 10 28 42 46 52 66 72 76 90 108 112 118	-3158684440
SPT(14)	5537091868746271	0 12 18 30 42 70 82 198 210 238 250 262 268 280	-2838148750
SPT(14)	5537093711282767	0 12 76 82 90 100 112 174 186 196 204 210 274 286	-995612254
SPT(14)	5537094514215727	0 4 16 22 40 52 66 100 114 126 144 150 162 166	-192679294
SPT(16)	5537095485659953	0 10 40 90 138 154 186 204 220 238 270 286 334 384 414 424	778764932
STPT(10)	5537104167363017	0 2 12 14 42 44 72 74 84 86	9460467996
TPT(12)	5537106641865521	0 2 6 8 60 62 228 230 258 260 270 272	11934970500
SPT(14)	5537109210584389	0 12 28 40 42 64 70 72 78 100 102 114 130 142	14503689368
SPT(14)	5537118982313539	0 40 60 82 148 154 162 220 228 234 300 322 342 382	24275418518