Prime p₀= 3032563734880208687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 58 2 76 2 28 2 58 2 (?)
a_n: 0 2 42 44 72 74 132 134 210 212 240 242 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 40 28 58 76 28 58

SPT(16)	3032562256906577663	0 48 60 66 74 90 104 156 158 210 224 240 248 254 266 314	-1477973631024
SPT(16)	3032562518327465791	0 6 10 28 42 48 72 160 198 286 310 316 330 348 352 358	-1216552742896
STPT(10)	3032562661322356781	0 2 48 50 108 110 168 170 216 218	-1073557851906
SPT(16)	3032563026281927321	0 72 96 98 120 162 170 222 236 288 296 338 360 362 386 458	-708598281366
STPT(10)	3032563279579541969	0 2 18 20 30 32 42 44 60 62	-455300666718
SPT(16)	3032563607396500651	0 6 12 28 42 82 130 136 162 168 216 256 270 286 292 298	-127483708036
STPT(10)	3032563849837742189	0 2 12 14 30 32 48 50 60 62	114957533502
STPT(10)	3032564380072845557	0 2 30 32 60 62 90 92 120 122	645192636870
TPT(14)	3032564410160188859	0 2 18 20 48 50 60 62 102 104 138 140 222 224	675279980172
SPT(16)	3032564429159027209	0 10 42 84 102 142 154 198 214 258 270 310 328 370 402 412	694278818522
SPT(16)	3032564566433253191	0 6 8 18 36 72 126 186 242 302 356 392 410 420 422 428	831553044504