Prime p₀= 86048531928236321 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 28 2 10 2 (?)
a_n: 0 2 36 38 66 68 78 80 108 110 120 122
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: 122
Found by: forretrio
db: batch=67, k=12, 34 28 10 28 10

SPT(14)	86048468830615097	0 14 44 104 114 132 144 170 182 200 210 270 300 314	-63097621224
SPT(14)	86048469678743161	0 22 28 78 90 108 148 300 340 358 370 420 426 448	-62249493160
SPT(14)	86048486044200109	0 24 30 48 58 84 184 234 334 360 370 388 394 418	-45884036212
TPT(12)	86048490711095711	0 2 30 32 66 68 78 80 126 128 138 140	-41217140610
SPT(14)	86048493224115703	0 28 58 100 150 156 198 208 250 256 306 348 378 406	-38704120618
SPT(14)	86048520378212971	0 52 108 132 138 168 172 216 220 250 256 280 336 388	-11550023350
SPT(14)	86048534451218489	0 14 42 78 122 132 134 138 140 150 194 230 258 272	2522982168
SPT(14)	86048538568733269	0 60 70 78 138 144 154 174 184 190 250 258 268 328	6640496948
SPT(14)	86048562276992929	0 4 22 34 48 52 54 118 120 124 138 150 168 172	30348756608
SPT(14)	86048562901969691	0 48 66 72 90 116 122 126 132 158 176 182 200 248	30973733370
SPT(14)	86048572313669089	0 28 42 48 64 70 90 112 132 138 154 160 174 202	40385432768