Prime p₀= 735388600803576749 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 70 2 10 2 76 2 10 2 (?)
a_n: 0 2 72 74 78 80 150 152 162 164 240 242 252 254
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: 254
Found by: Theadalus
db: batch=73, k=14, 70 4 70 10 76 10

SPT(16)	735386672608443421	0 18 70 126 130 132 156 196 282 322 346 348 352 408 460 478	-1928195133328
SPT(16)	735386692669300181	0 2 12 66 80 126 210 222 266 278 362 408 422 476 486 488	-1908134276568
SPT(16)	735387618462836503	0 24 30 40 58 94 160 178 180 198 264 300 318 328 334 358	-982340740246
SPT(16)	735388312000262953	0 6 18 36 48 76 96 106 138 148 168 196 208 226 238 244	-288803313796
SPT(16)	735388340358671789	0 54 60 98 104 128 132 210 212 290 294 318 324 362 368 422	-260444904960
SPT(16)	735388441379671483	0 10 18 66 76 126 138 150 154 166 178 228 238 286 294 304	-159423905266
SPT(16)	735388785691425289	0 12 22 48 72 78 84 138 184 238 244 250 274 300 310 322	184887848540
STPT(12)	735388994861528549	0 2 12 14 42 44 48 50 78 80 90 92	394057951800
STPT(10)	735389146508371097	0 2 30 32 42 44 54 56 84 86	545704794348
STPT(10)	735389151873707687	0 2 42 44 72 74 102 104 144 146	551070130938
STPT(12)	735389632458647951	0 2 30 32 78 80 120 122 168 170 198 200	1031655071202