Prime p₀= 2638433253391979 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 106 2 28 2 22 2 16 2 10 2 (?)
a_n: 0 2 108 110 138 140 162 164 180 182 192 194
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: 194
Found by: crashtech
db: batch=61, k=12, 106 28 22 16 10

SPT(14)	2638394608997369	0 8 62 140 164 192 222 230 260 288 312 390 444 452	-38644394610
SPT(16)	2638397789273579	0 2 84 104 132 168 194 218 264 288 314 350 378 398 480 482	-35464118400
TPT(12)	2638403055762161	0 2 120 122 156 158 210 212 216 218 330 332	-30197629818
SPT(16)	2638414733744689	0 4 28 30 58 72 78 82 120 124 130 144 172 174 198 202	-18519647290
SPT(14)	2638418732690959	0 10 54 72 78 84 130 162 208 214 220 238 282 292	-14520701020
SPT(14)	2638428914604661	0 10 36 96 106 138 168 220 250 282 292 352 378 388	-4338787318
SPT(14)	2638443725695927	0 22 24 34 52 64 70 294 300 312 330 340 342 364	10472303948
SPT(14)	2638446805346731	0 12 30 42 52 70 82 96 108 126 136 148 166 178	13551954752
SPT(14)	2638451324375219	0 14 20 42 62 72 110 114 152 162 182 204 210 224	18070983240
SPT(14)	2638452401895913	0 16 18 30 58 64 78 106 120 126 154 166 168 184	19148503934
SPT(14)	2638474409810971	0 6 28 72 90 112 142 156 186 208 226 270 292 298	41156418992