Prime p₀= 2679757341958262147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 232 2 28 2 16 2 88 2 28 2 40 2 (?)
a_n: 0 2 234 236 264 266 282 284 372 374 402 404 444 446
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: 446
Found by: RFGuy_KCCO
db: batch=82, k=14, 232 28 16 88 28 40

SPT(16)	2679755933881103179	0 4 34 40 90 102 172 174 238 240 310 322 372 378 408 412	-1408077158968
SPT(18)	2679756628667332847	0 6 80 84 90 96 150 162 176 180 194 206 260 266 272 276 350 356	-713290929300
SPT(16)	2679756694423819411	0 10 16 58 66 88 148 172 216 240 300 322 330 372 378 388	-647534442736
SPT(16)	2679756770797770311	0 42 60 68 120 182 216 242 246 272 306 368 420 428 446 488	-571160491836
SPT(16)	2679756943670784839	0 30 32 44 50 72 80 98 144 162 170 192 198 210 212 242	-398287477308
SPT(16)	2679757052235590111	0 30 32 56 72 78 80 92 186 198 200 206 222 246 248 278	-289722672036
SPT(16)	2679758558274941293	0 40 76 78 120 126 168 174 190 196 238 244 286 288 324 364	1216316679146
STPT(10)	2679759404380698527	0 2 24 26 42 44 60 62 84 86	2062422436380
TPT(14)	2679759438900796667	0 2 30 32 114 116 120 122 132 134 240 242 270 272	2096942534520
SPT(16)	2679759702227255407	0 16 42 112 126 162 166 180 232 246 250 286 300 370 396 412	2360268993260
STPT(10)	2679760161717489839	0 2 18 20 30 32 42 44 60 62	2819759227692