Prime p₀= 2401378452328193969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 106 2 16 2 148 2 70 2 46 2 (?)
a_n: 0 2 12 14 120 122 138 140 288 290 360 362 408 410
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: 410
Found by: Roadranner
db: batch=82, k=14, 10 106 16 148 70 46

STPT(10)	2401377220775806421	0 2 36 38 78 80 120 122 156 158	-1231552387548
STPT(10)	2401377377093018897	0 2 24 26 42 44 60 62 84 86	-1075235175072
SPT(16)	2401377653449385239	0 12 52 82 100 102 132 154 198 220 250 252 270 300 340 352	-798878808730
SPT(16)	2401377691310421401	0 2 48 78 92 116 120 156 272 308 312 336 350 380 426 428	-761017772568
STPT(10)	2401377948645198737	0 2 30 32 42 44 54 56 84 86	-503682995232
STPT(10)	2401378218694253801	0 2 30 32 60 62 90 92 120 122	-233633940168
SPT(16)	2401378486436323969	0 40 58 82 84 108 120 124 138 142 154 178 180 204 222 262	34108130000
SPT(16)	2401378847836377443	0 14 20 66 80 90 104 126 188 210 224 234 248 294 300 314	395508183474
STPT(10)	2401378878143652761	0 2 6 8 48 50 90 92 96 98	425815458792
SPT(16)	2401379346813897781	0 22 66 100 106 126 156 172 210 226 256 276 282 316 360 382	894485703812
SPT(16)	2401379438398458521	0 66 98 108 120 128 150 176 210 236 258 266 278 288 320 386	986070264552