Prime p₀= 3006497724657292907 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 22 2 64 2 172 2 (?)
a_n: 0 2 30 32 42 44 60 62 84 86 150 152 324 326
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: 326
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 28 10 16 22 64 172

TPT(14)	3006496021006301489	0 2 12 14 120 122 150 152 180 182 240 242 318 320	-1703650991418
SPT(16)	3006496270268658539	0 14 42 60 72 92 98 102 110 114 120 140 152 170 198 212	-1454388634368
STPT(10)	3006496993598952611	0 2 6 8 18 20 30 32 36 38	-731058340296
SPT(16)	3006497112601955251	0 10 52 58 70 100 118 168 292 342 360 390 402 408 450 460	-612055337656
SPT(16)	3006497135547238297	0 4 34 66 72 112 144 150 346 352 384 424 430 462 492 496	-589110054610
TPT(14)	3006497283827595119	0 2 42 44 90 92 102 104 132 134 198 200 210 212	-440829697788
SPT(16)	3006497841654695137	0 10 102 112 162 190 220 232 234 246 276 304 354 364 456 466	116997402230
SPT(13)	3006498099414613469	0 12 18 30 42 102 120 138 198 210 222 228 240	374757320562
SPT(16)	3006498190214267657	0 20 44 60 102 116 152 254 282 384 420 434 476 492 516 536	465556974750
STPT(10)	3006498221242282967	0 2 30 32 72 74 114 116 144 146	496584990060
SPT(16)	3006498331973178967	0 64 70 82 96 100 124 150 196 222 246 250 264 276 282 346	607315886060