Prime p₀= 2398441180141935947 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 28 2 130 2 34 2 40 2 46 2 (?)
a_n: 0 2 102 104 132 134 264 266 300 302 342 344 390 392
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: JayPi
db: batch=82, k=14, 100 28 130 34 40 46

SPT(16)	2398440129791630831	0 18 20 30 32 56 62 90 98 126 132 156 158 168 170 188	-1050350305116
TPT(14)	2398440360450331469	0 2 30 32 42 44 192 194 198 200 240 242 282 284	-819691604478
SPT(18)	2398440509506694089	0 28 54 82 120 138 184 204 222 310 328 348 394 412 450 478 504 532	-670635241858
SPT(18)	2398440616947613519	0 12 22 40 64 78 94 100 124 138 162 168 184 198 222 240 250 262	-563194322428
STPT(10)	2398441025012710187	0 2 42 44 72 74 102 104 144 146	-155129225760
STPT(10)	2398441097309056139	0 2 18 20 30 32 42 44 60 62	-82832879808
SPT(16)	2398441264317561241	0 48 52 72 76 100 130 136 192 198 228 252 256 276 280 328	84175625294
SPT(16)	2398441264409981783	0 20 150 156 158 180 188 210 254 276 284 306 308 314 444 464	84268045836
STPT(10)	2398441346098361027	0 2 60 62 102 104 144 146 204 206	165956425080
STPT(10)	2398441698487716779	0 2 18 20 30 32 42 44 60 62	518345780832
SPT(16)	2398443060346654649	0 42 80 104 110 122 150 164 198 212 240 252 258 282 320 362	1880204718702