Prime p₀= 2258833149539127197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 136 2 16 2 22 2 16 2 (?)
a_n: 0 2 24 26 54 56 192 194 210 212 234 236 252 254
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: 254
Found by: Orange Kid
db: batch=81, k=14, 22 28 136 16 22 16

SPT(16)	2258829913719213151	0 16 28 76 126 168 238 258 280 300 370 412 462 510 522 538	-3235819914046
SPT(16)	2258830104382783637	0 30 32 60 62 80 104 146 150 192 216 234 236 264 266 296	-3045156343560
STPT(10)	2258830243922472131	0 2 6 8 18 20 30 32 36 38	-2905616655066
SPT(16)	2258830380794732567	0 6 36 56 102 132 144 186 260 302 314 344 390 410 440 446	-2768744394630
STPT(10)	2258831255615112317	0 2 60 62 72 74 84 86 144 146	-1893924014880
STPT(12)	2258832555104508959	0 2 30 32 42 44 90 92 102 104 132 134	-594434618238
STPT(10)	2258833469917847651	0 2 6 8 48 50 90 92 96 98	320378720454
SPT(16)	2258833506845873497	0 16 46 60 70 96 124 126 154 156 184 210 220 234 264 280	357306746300
SPT(16)	2258833515614972851	0 66 88 132 156 168 228 232 366 370 430 442 466 510 532 598	366075845654
SPT(16)	2258833861566286229	0 32 42 114 144 164 180 194 210 224 240 260 290 362 372 404	712027159032
STPT(10)	2258834038119015587	0 2 24 26 42 44 60 62 84 86	888579888390