Prime p₀= 2458073283077795429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 106 2 28 2 22 2 4 2 (?)
a_n: 0 2 60 62 90 92 198 200 228 230 252 254 258 260
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: 260
Found by: JayPi
db: batch=82, k=14, 58 28 106 28 22 4

SPT(16)	2458072353263959849	0 30 58 72 84 138 148 204 208 264 274 328 340 354 382 412	-929813835580
SPT(16)	2458072376377523329	0 22 34 78 90 112 118 142 180 204 210 232 244 288 300 322	-906700272100
SPT(16)	2458072848240505219	0 10 48 70 78 210 232 252 328 348 370 502 510 532 570 580	-434837290210
SPT(16)	2458072925361190663	0 4 18 28 64 78 100 130 138 168 190 204 240 250 264 268	-357716604766
TPT(14)	2458073038235888681	0 2 18 20 60 62 126 128 150 152 168 170 186 188	-244841906748
SPT(16)	2458073114558946727	0 30 34 36 66 72 76 100 126 150 154 160 190 192 196 226	-168518848702
STPT(10)	2458073342322379217	0 2 42 44 72 74 102 104 144 146	59244583788
SPT(16)	2458073571103242553	0 6 48 58 60 66 84 108 136 160 178 184 186 196 238 244	288025447124
STPT(10)	2458073648563613627	0 2 30 32 42 44 54 56 84 86	365485818198
STPT(10)	2458073668516003589	0 2 42 44 60 62 78 80 120 122	385438208160
SPT(16)	2458073713806267587	0 2 62 84 104 132 156 170 246 260 284 312 332 354 414 416	430728472158