Prime p₀= 2280567400538859491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 16 2 70 2 136 2 22 2 (?)
a_n: 0 2 36 38 78 80 96 98 168 170 306 308 330 332
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: 332
Found by: JayPi
db: batch=81, k=14, 34 40 16 70 136 22

SPT(18)	2280564838090582643	0 14 18 36 54 56 74 96 116 228 248 270 288 290 308 326 330 344	-2562448276848
SPT(16)	2280565100510607721	0 72 76 82 108 130 166 196 282 312 348 370 396 402 406 478	-2300028251770
STPT(12)	2280566131013106617	0 2 30 32 42 44 90 92 102 104 132 134	-1269525752874
SPT(16)	2280566203548934859	0 8 54 60 84 150 188 260 318 390 428 494 518 524 570 578	-1196989924632
SPT(16)	2280566471417757359	0 72 74 90 158 174 188 198 314 324 338 354 422 438 440 512	-929121102132
STPT(10)	2280567006249417407	0 2 30 32 42 44 54 56 84 86	-394289442084
SPT(16)	2280567567253821749	0 12 18 122 144 150 168 182 210 224 242 248 270 374 380 392	166714962258
SPT(16)	2280567683587531711	0 16 28 36 42 48 58 76 102 120 130 136 142 150 162 178	283048672220
TPT(14)	2280567788109785747	0 2 42 44 60 62 144 146 150 152 240 242 264 266	387570926256
TPT(14)	2280567954645043667	0 2 30 32 60 62 90 92 102 104 270 272 282 284	554106184176
SPT(16)	2280568300350197423	0 38 44 66 108 126 146 180 224 258 278 296 338 360 366 404	899811337932