Prime p₀= 106449943951500491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 58 2 10 2 28 2 178 2 (?)
a_n: 0 2 66 68 108 110 168 170 180 182 210 212 390 392
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: 392
Found by: RFGuy_KCCO
db: batch=67, k=14, 64 40 58 10 28 178

SPT(14)	106449811151587331	0 8 26 32 50 80 116 162 198 228 246 252 270 278	-132799913160
SPT(14)	106449838060799911	0 66 82 100 156 192 222 226 256 292 348 366 382 448	-105890700580
SPT(14)	106449839442941641	0 6 30 52 70 72 106 126 160 162 180 202 226 232	-104508558850
SPT(14)	106449844685084233	0 34 54 84 90 100 138 160 198 208 214 244 264 298	-99266416258
SPT(14)	106449895582724891	0 32 86 110 116 138 156 182 200 222 228 252 306 338	-48368775600
SPT(14)	106449908776133281	0 10 16 46 60 66 72 106 112 118 132 162 168 178	-35175367210
SPT(14)	106449986679154939	0 34 72 78 84 94 112 150 168 178 184 190 228 262	42727654448
SPT(14)	106449995334402617	0 6 32 36 60 66 80 126 140 146 170 174 200 206	51382902126
TPT(12)	106450009719269387	0 2 12 14 42 44 54 56 120 122 150 152	65767768896
SPT(14)	106450011840342827	0 30 42 72 74 132 150 206 224 282 284 314 326 356	67888842336
SPT(14)	106450025426439143	0 18 26 50 54 74 86 108 120 140 144 168 176 194	81474938652