Prime p₀= 124124833790178797 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 58 2 28 2 40 2 10 2 (?)
a_n: 0 2 30 32 90 92 120 122 162 164 174 176
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: 176
Found by: L@MiR
db: batch=67, k=12, 28 58 28 40 10

SPT(14)	124124781144698023	0 16 18 48 78 84 118 126 160 166 196 226 228 244	-52645480774
SPT(14)	124124785080979169	0 48 62 128 158 174 194 288 308 324 354 420 434 482	-48709199628
SPT(14)	124124788279242409	0 22 42 64 72 124 142 150 168 220 228 250 270 292	-45510936388
SPT(14)	124124789368830587	0 36 42 60 80 86 102 140 156 162 182 200 206 242	-44421348210
SPT(14)	124124805472971463	0 10 34 54 66 70 114 136 180 184 196 216 240 250	-28317207334
SPT(18)	124124816988266141	0 36 56 60 80 102 138 150 182 186 218 230 266 288 308 312 332 368	-16801912656
SPT(14)	124124846289896429	0 14 32 42 48 98 138 194 234 284 290 300 318 332	12499717632
SPT(14)	124124856586042777	0 24 72 84 106 126 156 190 220 240 262 274 322 346	22795863980
SPT(14)	124124864284824763	0 6 28 48 66 96 100 174 178 208 226 246 268 274	30494645966
SPT(14)	124124954446476409	0 12 30 52 70 82 142 150 210 222 240 262 280 292	120656297612
TPT(12)	124124956920884651	0 2 6 8 18 20 138 140 186 188 210 212	123130705854