Prime p₀= 2533769099353033499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 76 2 28 2 10 2 10 2 (?)
a_n: 0 2 12 14 60 62 138 140 168 170 180 182 192 194
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: JayPi
db: batch=82, k=14, 10 46 76 28 10 10

SPT(16)	2533768447710903101	0 6 56 86 98 110 116 128 210 222 228 240 252 282 332 338	-651642130398
STPT(10)	2533768805421964181	0 2 30 32 78 80 126 128 156 158	-293931069318
SPT(16)	2533768883682550001	0 20 60 98 122 180 182 192 218 228 230 288 312 350 390 410	-215670483498
SPT(16)	2533768978149817249	0 4 10 24 52 84 102 112 210 220 238 270 298 312 318 322	-121203216250
STPT(10)	2533769040497956697	0 2 42 44 72 74 102 104 144 146	-58855076802
SPT(16)	2533769061538692091	0 22 28 70 76 90 156 168 220 232 298 312 318 360 366 388	-37814341408
STPT(10)	2533769431078826021	0 2 6 8 48 50 90 92 96 98	331725792522
SPT(16)	2533769519234629267	0 40 42 82 114 124 186 202 264 280 342 352 384 424 426 466	419881595768
STPT(12)	2533769662119059057	0 2 42 44 114 116 150 152 222 224 264 266	562766025558
SPT(16)	2533769924152241431	0 18 42 66 76 90 100 126 202 228 238 252 262 286 310 328	824799207932
SPT(16)	2533770139671423299	0 20 48 72 108 150 170 174 188 192 212 254 290 314 342 362	1040318389800