Prime p₀= 1996066093179658499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 34 2 58 2 28 2 10 2 (?)
a_n: 0 2 60 62 102 104 138 140 198 200 228 230 240 242
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: 242
Found by: Landjunge
db: batch=80, k=14, 58 40 34 58 28 10

SPT(16)	1996063897921104871	0 10 28 72 82 88 96 100 138 142 150 156 166 210 228 238	-2195258553628
SPT(16)	1996064515162732811	0 2 56 108 150 170 198 252 296 350 378 398 440 492 546 548	-1578016925688
SPT(16)	1996064592935424199	0 4 34 52 60 70 112 114 130 132 174 184 192 210 240 244	-1500244234300
SPT(16)	1996065132933464041	0 18 22 40 82 102 120 130 138 148 166 186 228 246 250 268	-960246194458
STPT(10)	1996065559899716489	0 2 30 32 60 62 90 92 120 122	-533279942010
SPT(16)	1996065883596338207	0 2 14 20 42 120 134 150 194 210 224 302 324 330 342 344	-209583320292
TPT(16)	1996066367155267529	0 2 42 44 48 50 78 80 108 110 132 134 168 170 180 182	273975609030
STPT(10)	1996066842032963639	0 2 18 20 60 62 102 104 120 122	748853305140
SPT(16)	1996067248375998557	0 12 30 44 62 96 116 152 204 240 260 294 312 326 344 356	1155196340058
SPT(16)	1996067796786673033	0 28 34 54 88 100 118 138 160 180 198 210 244 264 270 298	1703607014534
SPT(13)	1996068056337080147	0 30 36 42 102 162 186 210 270 330 336 342 372	1963157421648