Prime p₀= 2943299876350005059 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 76 2 40 2 10 2 28 2 (?)
a_n: 0 2 42 44 60 62 138 140 180 182 192 194 222 224
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: 224
Found by: JonS
db: batch=82, k=14, 40 16 76 40 10 28

SPT(16)	2943299196287937701	0 26 42 62 86 90 96 110 132 146 152 156 180 200 216 242	-680062067358
SPT(16)	2943299248746397153	0 18 40 60 78 88 138 208 228 298 348 358 376 396 418 436	-627603607906
STPT(10)	2943299313121057901	0 2 6 8 48 50 90 92 96 98	-563228947158
SPT(16)	2943299445104497877	0 6 12 14 26 56 66 80 156 170 180 210 222 224 230 236	-431245507182
SPT(16)	2943299636968254691	0 46 88 102 106 112 156 196 222 262 306 312 316 330 372 418	-239381750368
SPT(16)	2943299638206021953	0 18 20 36 60 84 108 110 174 176 200 224 248 264 266 284	-238143983106
STPT(12)	2943300382565915717	0 2 42 44 72 74 102 104 132 134 174 176	506215910658
STPT(10)	2943301548616150607	0 2 30 32 72 74 114 116 144 146	1672266145548
STPT(10)	2943302157535040597	0 2 72 74 102 104 132 134 204 206	2281185035538
SPT(16)	2943302299747812773	0 24 30 78 80 116 128 198 206 276 288 324 326 374 380 404	2423397807714
SPT(16)	2943302400336462331	0 12 40 48 60 76 100 102 166 168 192 208 220 228 256 268	2523986457272