Prime p₀= 1408766889643098257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 10 2 226 2 10 2 58 2 (?)
a_n: 0 2 30 32 42 44 54 56 282 284 294 296 354 356
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: 356
Found by: jozef j
db: batch=78, k=14, 28 10 10 226 10 58

SPT(16)	1408766431498084723	0 28 54 64 96 106 138 150 154 166 198 208 240 250 276 304	-458145013534
SPT(16)	1408766500276114361	0 20 26 42 78 98 126 152 156 182 210 230 266 282 288 308	-389366983896
SPT(16)	1408766527190962567	0 6 40 52 70 106 160 162 220 222 276 312 330 342 376 382	-362452135690
STPT(10)	1408766618772086009	0 2 18 20 60 62 102 104 120 122	-270871012248
TPT(14)	1408766705406074939	0 2 198 200 210 212 222 224 240 242 330 332 408 410	-184237023318
SPT(20)	1408766826528529007	0 12 60 66 74 92 140 144 180 182 204 206 242 246 294 312 320 326 374 386	-63114569250
TPT(14)	1408767061446577199	0 2 12 14 48 50 252 254 300 302 330 332 468 470	171803478942
SPT(16)	1408767522526236517	0 16 40 82 112 166 184 186 190 192 210 264 294 336 360 376	632883138260
SPT(16)	1408767540973560029	0 20 30 62 78 92 98 132 170 204 210 224 240 272 282 302	651330461772
STPT(10)	1408767729764086817	0 2 30 32 72 74 114 116 144 146	840120988560
STPT(10)	1408767988712300141	0 2 30 32 78 80 126 128 156 158	1099069201884