Prime p₀= 2458774481889863591 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 88 2 4 2 28 2 22 2 (?)
a_n: 0 2 18 20 60 62 150 152 156 158 186 188 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 16 40 88 4 28 22

SPT(16)	2458773290291116063	0 4 88 118 124 160 210 244 270 304 354 390 396 426 510 514	-1191598747528
SPT(16)	2458773364071948829	0 34 90 118 124 184 192 210 232 250 258 318 324 352 408 442	-1117817914762
SPT(16)	2458773733368975637	0 70 72 150 286 312 322 366 406 450 460 486 622 700 702 772	-748520887954
SPT(16)	2458774034615170277	0 12 14 26 66 90 150 162 194 206 266 290 330 342 344 356	-447274693314
SPT(16)	2458774043123074903	0 18 30 66 76 78 130 136 168 174 226 228 238 274 286 304	-438766788688
SPT(16)	2458774465976389369	0 28 30 40 70 78 90 100 102 112 124 132 162 172 174 202	-15913474222
STPT(10)	2458774487595710651	0 2 6 8 48 50 90 92 96 98	5705847060
SPT(16)	2458774767277099757	0 6 14 24 36 84 104 120 176 192 212 260 272 282 290 296	285387236166
SPT(16)	2458774879190695943	0 8 14 50 140 164 170 246 308 384 390 414 504 540 546 554	397300832352
SPT(16)	2458775182401886409	0 20 48 50 68 98 122 132 140 150 174 204 222 224 252 272	700512022818
STPT(12)	2458775338423104059	0 2 30 32 60 62 72 74 102 104 132 134	856533240468