Prime p₀= 2658400732823746817 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 76 2 148 2 10 2 88 2 (?)
a_n: 0 2 30 32 54 56 132 134 282 284 294 296 384 386
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: 386
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 22 76 148 10 88

SPT(18)	2658399920043613787	0 6 44 54 74 90 96 132 144 182 194 230 236 252 272 282 320 326	-812780133030
TPT(14)	2658400049460785087	0 2 12 14 84 86 120 122 132 134 210 212 342 344	-683362961730
SPT(16)	2658400255027847279	0 8 20 32 42 54 60 80 162 182 188 200 210 222 234 242	-477795899538
SPT(16)	2658400419016535747	0 56 86 126 144 164 170 264 266 360 366 386 404 444 474 530	-313807211070
SPT(16)	2658400496773789879	0 18 52 70 102 108 124 130 132 138 154 160 192 210 244 262	-236049956938
SPT(16)	2658400528397249149	0 30 70 90 114 160 174 220 222 268 282 328 352 372 412 442	-204426497668
STPT(10)	2658400791113764397	0 2 30 32 42 44 54 56 84 86	58290017580
STPT(10)	2658400852457408027	0 2 54 56 72 74 90 92 144 146	119633661210
SPT(16)	2658401128674758969	0 8 20 24 60 78 80 90 218 228 230 248 284 288 300 308	395851012152
TPT(14)	2658401441212330997	0 2 72 74 84 86 120 122 282 284 294 296 390 392	708388584180
SPT(16)	2658401485378328827	0 30 34 36 64 106 112 120 166 174 180 222 250 252 256 286	752554582010