Prime p₀= 2736534346535804027 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 64 2 82 2 28 2 4 2 52 2 (?)
a_n: 0 2 24 26 90 92 174 176 204 206 210 212 264 266
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: 266
Found by: eclipse99
db: batch=82, k=14, 22 64 82 28 4 52

STPT(10)	2736532480528637027	0 2 12 14 42 44 72 74 84 86	-1866007167000
STPT(10)	2736533224402738469	0 2 18 20 60 62 102 104 120 122	-1122133065558
SPT(16)	2736533586467675341	0 22 42 72 76 78 118 202 246 330 370 372 376 406 426 448	-760068128686
SPT(16)	2736534179736815707	0 16 30 40 82 100 172 186 196 210 282 300 342 352 366 382	-166798988320
SPT(16)	2736534196935922529	0 24 32 80 108 110 122 150 182 210 222 224 252 300 308 332	-149599881498
SPT(16)	2736534306291141379	0 24 60 64 88 108 144 160 162 178 214 234 258 262 298 322	-40244662648
SPT(16)	2736534436370852959	0 64 90 102 108 154 210 238 444 472 528 574 580 592 618 682	89835048932
STPT(10)	2736534833788204247	0 2 30 32 42 44 54 56 84 86	487252400220
STPT(10)	2736535466779006337	0 2 30 32 42 44 54 56 84 86	1120243202310
SPT(16)	2736535484533040009	0 8 14 18 24 30 80 98 144 162 212 218 224 228 234 242	1137997235982
SPT(16)	2736535924582997833	0 6 10 24 48 76 160 178 216 234 318 346 370 384 388 394	1578047193806