Prime p₀= 2123586019242943139 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 22 2 76 2 76 2 10 2 16 2 (?)
a_n: 0 2 108 110 132 134 210 212 288 290 300 302 318 320
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 320
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 106 22 76 76 10 16

STPT(10)	2123584629968517011	0 2 6 8 18 20 30 32 36 38	-1389274426128
STPT(10)	2123584782774166037	0 2 60 62 72 74 84 86 144 146	-1236468777102
TPT(14)	2123584795425034661	0 2 18 20 30 32 126 128 156 158 198 200 360 362	-1223817908478
TPT(14)	2123584873248087911	0 2 30 32 138 140 156 158 180 182 186 188 228 230	-1145994855228
SPT(16)	2123585500813374751	0 6 40 46 48 52 72 82 186 196 216 220 222 228 262 268	-518429568388
TPT(14)	2123585625649935509	0 2 60 62 72 74 138 140 210 212 228 230 240 242	-393593007630
SPT(16)	2123586249820194167	0 72 152 164 204 240 260 302 354 396 416 452 492 504 584 656	230577251028
SPT(16)	2123587862650935313	0 24 28 54 76 94 106 136 138 168 180 198 220 246 250 274	1843407992174
STPT(10)	2123587930861398317	0 2 30 32 42 44 54 56 84 86	1911618455178
SPT(16)	2123588786952814079	0 30 38 42 78 108 114 162 170 218 224 254 290 294 302 332	2767709870940
TPT(14)	2123589105633093149	0 2 18 20 60 62 132 134 210 212 240 242 252 254	3086390150010