Prime p₀= 1033537309784250611 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 106 2 28 2 46 2 10 2 (?)
a_n: 0 2 6 8 30 32 138 140 168 170 216 218 228 230
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: 230
Found by: Theadalus
db: batch=76, k=14, 4 22 106 28 46 10

SPT(16)	1033536647599127299	0 12 40 60 108 138 160 192 238 270 292 322 370 390 418 430	-662185123312
SPT(16)	1033536704120508011	0 2 6 32 50 68 72 86 102 116 120 138 156 182 186 188	-605663742600
TPT(14)	1033536826104927251	0 2 6 8 30 32 48 50 90 92 126 128 186 188	-483679323360
SPT(16)	1033536991719167251	0 12 60 82 96 112 130 142 150 162 180 196 210 232 280 292	-318065083360
SPT(13)	1033537048719350671	0 6 48 60 66 90 108 126 150 156 168 210 216	-261064899940
SPT(16)	1033537225563953717	0 32 36 126 132 140 146 162 200 216 222 230 236 326 330 362	-84220296894
SPT(16)	1033537590991376623	0 18 34 48 60 66 70 76 78 84 88 94 106 120 136 154	281207126012
STPT(10)	1033537609079373647	0 2 30 32 42 44 54 56 84 86	299295123036
STPT(10)	1033537714368245267	0 2 24 26 42 44 60 62 84 86	404583994656
SPT(16)	1033538162120276233	0 10 16 108 126 130 150 168 238 256 276 280 298 390 396 406	852336025622
STPT(10)	1033538283777263879	0 2 18 20 30 32 42 44 60 62	973993013268