Prime p₀= 2531541912272275751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 76 2 16 2 58 2 40 2 (?)
a_n: 0 2 78 80 90 92 168 170 186 188 246 248 288 290
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: 290
Found by: JayPi
db: batch=82, k=14, 76 10 76 16 58 40

SPT(16)	2531539077490664803	0 34 90 118 126 148 156 196 198 238 246 268 276 304 360 394	-2834781610948
SPT(16)	2531539434534756311	0 26 32 56 66 98 102 120 158 176 180 212 222 246 252 278	-2477737519440
SPT(16)	2531541074518219331	0 2 8 12 42 50 68 80 198 210 228 236 266 270 276 278	-837754056420
SPT(16)	2531541379783301183	0 60 86 114 128 158 194 216 308 330 366 396 410 438 464 524	-532488974568
SPT(13)	2531541537657263191	0 42 78 120 180 198 210 222 240 300 342 378 420	-374615012560
STPT(10)	2531541857143046789	0 2 18 20 30 32 42 44 60 62	-55129228962
STPT(10)	2531542835866237649	0 2 30 32 120 122 210 212 240 242	923593961898
SPT(16)	2531543165836021039	0 22 40 112 148 190 262 304 378 420 492 534 570 642 660 682	1253563745288
STPT(10)	2531543176061331977	0 2 30 32 42 44 54 56 84 86	1263789056226
STPT(10)	2531543264103079691	0 2 90 92 108 110 126 128 216 218	1351830803940
SPT(16)	2531543267769633941	0 18 38 50 80 90 116 140 168 192 218 228 258 270 290 308	1355497358190