Prime p₀= 1928691310174338209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 28 2 22 2 28 2 28 2 (?)
a_n: 0 2 42 44 78 80 108 110 132 134 162 164 192 194
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: 194
Found by: Landjunge
db: batch=80, k=14, 40 34 28 22 28 28

SPT(16)	1928689390890732991	0 16 42 70 96 120 178 180 208 210 268 292 318 346 372 388	-1919283605218
SPT(16)	1928689522293604583	0 18 60 74 84 128 144 156 188 200 216 260 270 284 326 344	-1787880733626
SPT(16)	1928690007458826917	0 6 26 30 44 50 56 114 116 174 180 186 200 204 224 230	-1302715511292
STPT(10)	1928690783500459577	0 2 30 32 42 44 54 56 84 86	-526673878632
SPT(16)	1928690977647361261	0 28 46 52 70 96 120 132 166 178 202 228 246 252 270 298	-332526976948
SPT(16)	1928691262058268217	0 24 46 66 76 90 100 126 160 186 196 210 220 240 262 286	-48116069992
SPT(16)	1928691472353344519	0 2 8 38 72 90 122 164 168 210 242 260 294 324 330 332	162179006310
SPT(16)	1928691586805603839	0 22 30 114 118 168 190 220 252 282 304 354 358 442 450 472	276631265630
STPT(10)	1928692204180091237	0 2 24 26 42 44 60 62 84 86	894005753028
SPT(16)	1928692584313084399	0 28 34 84 138 168 174 190 192 208 214 244 298 348 354 382	1274138746190
SPT(16)	1928692669763812933	0 4 36 40 78 96 136 154 180 198 238 256 294 298 330 334	1359589474724