Prime p₀= 2465319175331144369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 28 2 70 2 106 2 76 2 22 2 (?)
a_n: 0 2 150 152 180 182 252 254 360 362 438 440 462 464
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: 464
Found by: JayPi
db: batch=82, k=14, 148 28 70 106 76 22

SPT(16)	2465316426804741721	0 12 58 100 112 138 142 180 208 246 250 276 288 330 376 388	-2748526402648
STPT(10)	2465316683003971337	0 2 90 92 102 104 114 116 204 206	-2492327173032
STPT(10)	2465317149465748769	0 2 72 74 120 122 168 170 240 242	-2025865395600
STPT(10)	2465317703341227071	0 2 78 80 138 140 198 200 276 278	-1471989917298
SPT(16)	2465318124801706571	0 38 92 96 108 126 168 176 192 200 242 260 272 276 330 368	-1050529437798
SPT(18)	2465318744999894827	0 10 42 96 136 162 180 190 222 280 312 322 340 366 406 460 492 502	-430331249542
SPT(16)	2465319270889001677	0 36 52 64 66 94 96 126 160 190 192 220 222 234 250 286	95557857308
STPT(10)	2465319462473307551	0 2 126 128 138 140 150 152 276 278	287142163182
SPT(16)	2465319489901518697	0 30 42 72 132 156 160 192 220 252 256 280 340 370 382 412	314570374328
SPT(16)	2465319908772724349	0 2 38 42 68 90 98 120 140 162 170 192 218 222 258 260	733441579980
STPT(10)	2465320260769458689	0 2 42 44 120 122 198 200 240 242	1085438314320