Prime p₀= 2309078646335688917 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 28 2 136 2 28 2 10 2 (?)
a_n: 0 2 30 32 54 56 84 86 222 224 252 254 264 266
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: 266
Found by: Landjunge
db: batch=81, k=14, 28 22 28 136 28 10

SPT(16)	2309077032196995089	0 8 12 32 38 98 108 128 234 254 264 324 330 350 354 362	-1614138693828
STPT(10)	2309077556607134021	0 2 36 38 78 80 120 122 156 158	-1089728554896
SPT(16)	2309077689338848201	0 12 28 60 76 102 138 142 186 190 226 252 268 300 316 328	-956996840716
SPT(16)	2309077925764722157	0 42 84 106 184 196 216 262 264 310 330 342 420 442 484 526	-720570966760
SPT(16)	2309078357860298719	0 10 34 70 84 90 132 142 162 172 214 220 234 270 294 304	-288475390198
SPT(16)	2309078448512762879	0 8 14 24 38 110 120 164 198 242 252 324 338 348 354 362	-197822926038
SPT(13)	2309079172709761493	0 18 30 54 84 90 114 138 144 174 198 210 228	526374072576
SPT(16)	2309079252521833949	0 20 72 78 80 104 120 132 170 182 198 222 224 230 282 302	606186145032
SPT(16)	2309079453471819101	0 8 30 36 38 42 56 86 162 192 206 210 212 218 240 248	807136130184
SPT(16)	2309080157331669551	0 90 98 126 146 176 188 200 228 240 252 282 302 330 338 428	1510995980634
SPT(13)	2309080248517643929	0 12 18 30 138 198 240 282 342 450 462 468 480	1602181955012