Prime p₀= 1033598883234041867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 10 2 34 2 40 2 (?)
a_n: 0 2 12 14 30 32 72 74 84 86 120 122 162 164
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: 164
Found by: Skivelitis2
db: batch=76, k=14, 10 16 40 10 34 40

SPT(16)	1033597358347149779	0 42 68 74 80 98 128 144 218 234 264 282 288 294 320 362	-1524886892088
SPT(16)	1033597743899288003	0 20 30 44 74 90 144 200 228 284 338 354 384 398 408 428	-1139334753864
SPT(16)	1033597812348854677	0 40 42 46 114 124 166 196 240 270 312 322 390 394 396 436	-1070885187190
SPT(16)	1033597825001106203	0 24 54 56 60 68 80 86 138 144 156 164 168 170 200 224	-1058232935664
SPT(16)	1033598058778584701	0 30 62 108 120 122 132 162 176 206 216 218 230 276 308 338	-824455457166
STPT(10)	1033598710061412137	0 2 30 32 42 44 54 56 84 86	-173172629730
SPT(16)	1033599123310177367	0 6 26 30 42 60 66 80 132 146 152 170 182 186 206 212	240076135500
STPT(10)	1033599529298972759	0 2 12 14 30 32 48 50 60 62	646064930892
STPT(10)	1033599664079306507	0 2 30 32 42 44 54 56 84 86	780845264640
SPT(16)	1033599970492111577	0 14 84 144 150 156 164 200 210 246 254 260 266 326 396 410	1087258069710
STPT(10)	1033600086565490921	0 2 36 38 78 80 120 122 156 158	1203331449054