Prime p₀= 2545693159193250161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 124 2 52 2 58 2 88 2 4 2 (?)
a_n: 0 2 60 62 186 188 240 242 300 302 390 392 396 398
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: 398
Found by: RoXoR
db: batch=82, k=14, 58 124 52 58 88 4

SPT(16)	2545690117327407961	0 28 78 120 126 240 268 292 306 330 358 472 478 520 570 598	-3041865842200
SPT(16)	2545690361912498761	0 30 48 58 78 90 100 112 198 210 220 232 252 262 280 310	-2797280751400
STPT(10)	2545690732049879171	0 2 6 8 18 20 30 32 36 38	-2427143370990
SPT(16)	2545691301847048559	0 32 44 92 114 128 140 168 194 222 234 248 270 318 330 362	-1857346201602
SPT(16)	2545692405892316339	0 84 98 114 152 164 192 194 198 200 228 240 278 294 308 392	-753300933822
SPT(16)	2545692590112744581	0 60 62 90 92 110 126 132 146 152 168 186 188 216 218 278	-569080505580
STPT(10)	2545694336285008367	0 2 30 32 42 44 54 56 84 86	1177091758206
STPT(10)	2545694496827277569	0 2 48 50 90 92 132 134 180 182	1337634027408
STPT(10)	2545694601755651909	0 2 12 14 90 92 168 170 180 182	1442562401748
SPT(16)	2545695098891122693	0 6 34 36 78 130 144 154 180 190 204 256 298 300 328 334	1939697872532
STPT(10)	2545695301358928569	0 2 42 44 90 92 138 140 180 182	2142165678408