Prime p₀= 745163005807765289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 22 2 16 2 10 2 58 2 214 2 (?)
a_n: 0 2 138 140 162 164 180 182 192 194 252 254 468 470
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: 470
Found by: Theadalus
db: batch=73, k=14, 136 22 16 10 58 214

SPT(16)	745162703922158297	0 2 14 20 26 44 102 132 164 194 252 270 276 282 294 296	-301885606992
STPT(10)	745162707598976741	0 2 6 8 48 50 90 92 96 98	-298208788548
SPT(16)	745162717531455217	0 30 40 66 82 114 154 156 190 192 232 264 280 306 316 346	-288276310072
SPT(16)	745162913043658271	0 38 86 92 96 110 120 122 126 128 138 152 156 162 210 248	-92764107018
STPT(10)	745162992678262049	0 2 48 50 90 92 132 134 180 182	-13129503240
SPT(16)	745163005332206449	0 58 84 94 118 150 154 178 294 318 322 354 378 388 414 472	-475558840
SPT(16)	745163349640346881	0 10 12 28 72 82 90 100 210 220 228 238 282 298 300 310	343832581592
SPT(16)	745163523571271711	0 2 8 20 30 32 56 92 96 132 156 158 168 180 186 188	517763506422
STPT(10)	745163676029600897	0 2 24 26 42 44 60 62 84 86	670221835608
STPT(10)	745163987659584707	0 2 30 32 42 44 54 56 84 86	981851819418
SPT(16)	745164662597927993	0 24 68 120 156 266 296 306 308 318 348 458 494 546 590 614	1656790162704