Prime p₀= 2802267587330738927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 58 2 88 2 124 2 28 2 (?)
a_n: 0 2 12 14 54 56 114 116 204 206 330 332 360 362
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: 362
Found by: [SG-FC] hl
db: batch=82, k=14, 10 40 58 88 124 28

STPT(10)	2802267197334374681	0 2 6 8 18 20 30 32 36 38	-389996364246
SPT(16)	2802267208857873409	0 30 34 42 72 100 108 118 144 154 162 190 220 228 232 262	-378472865518
SPT(16)	2802267353219470187	0 6 30 42 126 164 174 204 302 332 342 380 464 476 500 506	-234111268740
SPT(16)	2802267491400187379	0 2 32 74 84 122 140 150 164 174 192 230 240 282 312 314	-95930551548
SPT(16)	2802267510247466893	0 4 16 76 84 90 114 154 276 316 340 346 354 414 426 430	-77083272034
STPT(10)	2802267540239217959	0 2 18 20 30 32 42 44 60 62	-47091520968
SPT(16)	2802268023106700521	0 6 28 36 60 90 106 150 196 240 256 286 310 318 340 346	435775961594
SPT(16)	2802268041697693993	0 4 34 36 58 64 106 120 124 138 180 186 208 210 240 244	454366955066
SPT(16)	2802268122709981217	0 12 32 62 92 120 144 162 164 182 206 234 264 294 314 326	535379242290
STPT(10)	2802268255545233087	0 2 30 32 42 44 54 56 84 86	668214494160
SPT(16)	2802268312315642763	0 24 50 80 110 120 138 164 204 230 248 258 288 318 344 368	724984903836