Prime p₀= 2576065378851793259 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 40 2 34 2 28 2 22 2 (?)
a_n: 0 2 30 32 90 92 132 134 168 170 198 200 222 224
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, 28 58 40 34 28 22

STPT(10)	2576064626762549519	0 2 42 44 60 62 78 80 120 122	-752089243740
TPT(14)	2576064867532916831	0 2 30 32 78 80 156 158 198 200 240 242 360 362	-511318876428
TPT(14)	2576064884096188559	0 2 60 62 72 74 138 140 198 200 270 272 438 440	-494755604700
SPT(16)	2576064963766941967	0 6 40 52 64 66 90 102 154 166 190 192 204 216 250 256	-415084851292
SPT(16)	2576065151722948673	0 6 86 110 128 204 240 260 264 284 320 396 414 438 518 524	-227128844586
STPT(10)	2576065329650910827	0 2 30 32 72 74 114 116 144 146	-49200882432
SPT(16)	2576065739802069379	0 12 42 102 124 154 172 174 280 282 300 330 352 412 442 454	360950276120
STPT(10)	2576065771086448517	0 2 30 32 60 62 90 92 120 122	392234655258
SPT(16)	2576065805009217683	0 18 54 78 86 114 128 200 204 276 290 318 326 350 386 404	426157424424
STPT(10)	2576066386620807257	0 2 60 62 72 74 84 86 144 146	1007769013998
STPT(10)	2576066433340313267	0 2 12 14 72 74 132 134 144 146	1054488520008