Prime p₀= 2071764356968153691 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 178 2 10 2 28 2 34 2 (?)
a_n: 0 2 30 32 48 50 228 230 240 242 270 272 306 308
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: 308
Found by: Landjunge
db: batch=80, k=14, 28 16 178 10 28 34

SPT(16)	2071762782571228933	0 16 30 54 84 106 114 120 124 130 138 160 190 214 228 244	-1574396924758
SPT(16)	2071763086462827451	0 30 46 156 168 196 198 228 250 280 282 310 322 432 448 478	-1270505326240
STPT(10)	2071763248742098229	0 2 42 44 90 92 138 140 180 182	-1108226055462
STPT(10)	2071763456048015531	0 2 6 8 48 50 90 92 96 98	-900920138160
SPT(16)	2071763911179838663	0 30 60 76 100 118 184 258 376 450 516 534 558 574 604 634	-445788315028
STPT(10)	2071764144842162369	0 2 18 20 30 32 42 44 60 62	-212125991322
SPT(16)	2071764819294719371	0 6 42 78 82 102 130 132 196 198 226 246 250 286 322 328	462326565680
SPT(16)	2071764856549974167	0 24 36 54 60 66 84 102 134 152 170 176 182 200 212 236	499581820476
SPT(16)	2071765175889404431	0 28 42 66 72 190 198 216 262 280 288 406 412 436 450 478	818921250740
STPT(10)	2071765385132582927	0 2 60 62 72 74 84 86 144 146	1028164429236
SPT(16)	2071765389505982453	0 54 56 66 78 108 134 150 164 180 206 236 248 258 260 314	1032537828762