Prime p₀= 2509213042350020999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 40 2 16 2 28 2 10 2 10 2 (?)
a_n: 0 2 108 110 150 152 168 170 198 200 210 212 222 224
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: JayPi
db: batch=82, k=14, 106 40 16 28 10 10

TPT(14)	2509212157789089041	0 2 18 20 48 50 78 80 156 158 186 188 246 248	-884560931958
TPT(14)	2509212771866070659	0 2 30 32 48 50 102 104 132 134 180 182 270 272	-270483950340
STPT(10)	2509212834897619619	0 2 18 20 30 32 42 44 60 62	-207452401380
SPT(16)	2509212919340482907	0 14 26 30 66 116 216 230 360 374 474 524 560 564 576 590	-123009538092
TPT(14)	2509212986747795177	0 2 42 44 90 92 120 122 132 134 150 152 234 236	-55602225822
STPT(10)	2509213006262061311	0 2 36 38 78 80 120 122 156 158	-36087959688
SPT(16)	2509213428845337761	0 56 72 78 126 140 176 182 186 192 228 242 290 296 312 368	386495316762
SPT(16)	2509213679351003423	0 14 78 80 108 138 156 198 206 248 266 296 324 326 390 404	637000982424
SPT(16)	2509213971335275409	0 18 62 78 80 128 132 150 182 200 204 252 254 270 314 332	928985254410
SPT(16)	2509213996488113653	0 40 46 78 84 90 96 120 124 148 154 160 166 198 204 244	954138092654
SPT(16)	2509214383669985681	0 26 30 56 78 110 140 152 186 198 228 260 282 308 312 338	1341319964682