Prime p₀= 805021610346447419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 22 2 136 2 46 2 40 2 (?)
a_n: 0 2 30 32 48 50 72 74 210 212 258 260 300 302
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: 302
Found by: [SETI.USA]Tank_Master
db: batch=73, k=14, 28 16 22 136 46 40

SPT(16)	805020186386953657	0 30 42 66 94 96 112 186 190 264 280 282 310 334 346 376	-1423959493762
STPT(10)	805020605880360671	0 2 6 8 48 50 90 92 96 98	-1004466086748
STPT(10)	805020848454004067	0 2 54 56 72 74 90 92 144 146	-761892443352
TPT(14)	805020910195172621	0 2 30 32 60 62 150 152 168 170 228 230 240 242	-700151274798
SPT(18)	805021044493296833	0 20 30 44 66 90 114 146 156 158 168 200 224 248 270 284 294 314	-565853150586
STPT(10)	805021052715247187	0 2 30 32 42 44 54 56 84 86	-557631200232
STPT(12)	805022283551353949	0 2 12 14 30 32 72 74 90 92 102 104	673204906530
SPT(18)	805022387411823901	0 6 12 42 82 112 132 138 160 168 190 196 216 246 286 316 322 328	777065376482
SPT(16)	805022438314578817	0 54 64 72 84 190 222 240 256 274 306 412 424 432 442 496	827968131398
SPT(16)	805022507861304463	0 66 76 96 118 120 168 196 288 316 364 366 388 408 418 484	897514857044
STPT(10)	805022624411546867	0 2 60 62 72 74 84 86 144 146	1014065099448