Prime p₀= 2622962641999583591 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 58 2 16 2 52 2 76 2 (?)
a_n: 0 2 30 32 78 80 138 140 156 158 210 212 288 290
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, 28 46 58 16 52 76

SPT(16)	2622960985213025161	0 6 12 18 42 48 70 126 172 228 250 256 280 286 292 298	-1656786558430
SPT(16)	2622961260165586937	0 42 86 102 186 212 234 270 296 332 354 380 464 480 524 566	-1381833996654
SPT(16)	2622961350164249323	0 34 76 118 126 144 190 196 228 234 280 298 306 348 390 424	-1291835334268
STPT(10)	2622961411842847841	0 2 96 98 108 110 120 122 216 218	-1230156735750
SPT(16)	2622961598284124863	0 10 36 58 78 106 108 156 160 208 210 238 258 280 306 316	-1043715458728
STPT(10)	2622961989628650347	0 2 60 62 72 74 84 86 144 146	-652370933244
STPT(10)	2622963211984640849	0 2 42 44 60 62 78 80 120 122	569985057258
SPT(16)	2622963462046528333	0 6 10 40 46 66 84 90 124 130 148 168 174 204 208 214	820046944742
STPT(10)	2622963628466769557	0 2 12 14 72 74 132 134 144 146	986467185966
STPT(10)	2622963972482056961	0 2 6 8 18 20 30 32 36 38	1330482473370
TPT(14)	2622964023742004321	0 2 30 32 66 68 78 80 240 242 288 290 390 392	1381742420730