Prime p₀= 123473237921370011 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 28 2 40 2 16 2 10 2 (?)
a_n: 0 2 6 8 36 38 78 80 96 98 108 110
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: 110
Found by: paulteo
db: batch=67, k=12, 4 28 40 16 10

SPT(14)	123473189878880389	0 58 64 70 78 94 118 144 168 184 192 198 204 262	-48042489622
SPT(14)	123473195636609999	0 38 42 78 102 104 108 134 138 140 164 200 204 242	-42284760012
SPT(14)	123473205875611567	0 10 40 54 66 70 72 94 96 100 112 126 156 166	-32045758444
SPT(14)	123473207535386833	0 18 34 40 76 124 166 258 300 348 384 390 406 424	-30385983178
TPT(12)	123473227286004611	0 2 30 32 96 98 120 122 138 140 156 158	-10635365400
SPT(14)	123473229806410681	0 40 60 82 130 136 150 172 186 192 240 262 282 322	-8114959330
TPT(12)	123473245149542369	0 2 42 44 72 74 102 104 210 212 252 254	7228172358
SPT(14)	123473254148001853	0 30 36 46 58 88 90 184 186 216 228 238 244 274	16226631842
SPT(14)	123473255321284633	0 34 70 76 78 84 118 156 190 196 198 204 240 274	17399914622
TPT(12)	123473255391683609	0 2 12 14 150 152 198 200 228 230 282 284	17470313598
SPT(14)	123473256988522157	0 26 30 36 84 90 96 164 170 176 224 230 234 260	19067152146