Prime p₀= 2561230555877699777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 148 2 4 2 22 2 16 2 (?)
a_n: 0 2 12 14 84 86 234 236 240 242 264 266 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 10 70 148 4 22 16

STPT(10)	2561230155655198997	0 2 54 56 72 74 90 92 144 146	-400222500780
SPT(16)	2561230157611969399	0 12 34 58 78 90 114 138 184 208 232 244 264 288 310 322	-398265730378
STPT(10)	2561230251846372497	0 2 30 32 42 44 54 56 84 86	-304031327280
STPT(10)	2561230257160678307	0 2 12 14 42 44 72 74 84 86	-298717021470
SPT(16)	2561230285086516713	0 8 38 54 60 68 140 168 260 288 360 368 374 390 420 428	-270791183064
SPT(16)	2561230485497838709	0 24 58 118 132 150 154 184 228 258 262 280 294 354 388 412	-70379861068
STPT(10)	2561231071415065067	0 2 12 14 72 74 132 134 144 146	515537365290
SPT(16)	2561231109655340923	0 6 10 16 54 58 94 108 166 180 216 220 258 264 268 274	553777641146
SPT(16)	2561231284962837533	0 26 56 90 104 128 134 144 170 180 186 210 224 258 288 314	729085137756
SPT(16)	2561231596758660899	0 84 98 120 128 134 138 162 230 254 258 264 272 294 308 392	1040880961122
SPT(16)	2561231907827802647	0 14 74 96 146 152 240 254 282 296 384 390 440 462 522 536	1351950102870