Prime p₀= 2554975264489037837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 40 2 88 2 16 2 16 2 (?)
a_n: 0 2 42 44 102 104 144 146 234 236 252 254 270 272
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: 272
Found by: RFGuy_KCCO
db: batch=82, k=14, 40 58 40 88 16 16

SPT(16)	2554973807545322213	0 18 24 26 96 98 110 144 260 294 306 308 378 380 386 404	-1456943715624
STPT(10)	2554973832041395379	0 2 18 20 30 32 42 44 60 62	-1432447642458
SPT(16)	2554974206741536493	0 26 56 84 86 96 128 140 144 156 188 198 200 228 258 284	-1057747501344
SPT(16)	2554974514589413271	0 12 42 62 68 78 92 120 158 186 200 210 216 236 266 278	-749899624566
SPT(16)	2554974685940279569	0 4 22 52 54 70 108 124 168 184 222 238 240 270 288 292	-578548758268
STPT(10)	2554975090402560149	0 2 18 20 60 62 102 104 120 122	-174086477688
TPT(14)	2554975625331091979	0 2 78 80 90 92 120 122 168 170 198 200 288 290	360842054142
STPT(10)	2554975748638109981	0 2 30 32 60 62 90 92 120 122	484149072144
SPT(16)	2554976210051935711	0 6 18 28 40 66 90 96 130 136 160 186 198 208 220 226	945562897874
SPT(16)	2554976328387517423	0 48 58 60 78 120 124 156 298 330 334 376 394 396 406 454	1063898479586
SPT(16)	2554977242518731721	0 6 18 42 48 52 88 138 160 210 246 250 256 280 292 298	1978029693884