Prime p₀= 2848662472308820439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 40 2 40 2 34 2 52 2 106 2 (?)
a_n: 0 2 108 110 150 152 192 194 228 230 282 284 390 392
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: Roadranner
db: batch=82, k=14, 106 40 40 34 52 106

SPT(16)	2848661360778769577	0 20 26 54 56 66 114 140 156 182 230 240 242 270 276 296	-1111530050862
STPT(10)	2848661676509370437	0 2 42 44 72 74 102 104 144 146	-795799450002
SPT(16)	2848661713287596467	0 10 16 46 72 100 130 132 154 156 186 214 240 270 276 286	-759021223972
SPT(16)	2848661760960591353	0 38 144 164 198 306 318 320 324 326 338 446 480 500 606 644	-711348229086
STPT(10)	2848662011439598181	0 2 36 38 78 80 120 122 156 158	-460869222258
STPT(10)	2848662276250501559	0 2 30 32 60 62 90 92 120 122	-196058318880
SPT(16)	2848662497078782451	0 12 18 92 116 126 138 162 176 200 212 222 246 320 326 338	24769962012
SPT(16)	2848663269665632493	0 18 20 86 90 96 98 144 170 216 218 224 228 294 296 314	797356812054
STPT(10)	2848663429841891267	0 2 60 62 72 74 84 86 144 146	957533070828
SPT(16)	2848664035125814481	0 36 38 66 78 86 92 108 140 156 162 170 182 210 212 248	1562816994042
STPT(10)	2848665086355995507	0 2 42 44 72 74 102 104 144 146	2614047175068