Prime p₀= 1538000466641143931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 64 2 10 2 16 2 28 2 (?)
a_n: 0 2 30 32 60 62 126 128 138 140 156 158 186 188
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: 188
Found by: Skivelitis2
db: batch=78, k=14, 28 28 64 10 16 28

SPT(16)	1537999036188183181	0 6 28 60 82 96 100 142 156 198 202 216 238 270 292 298	-1430452960750
TPT(14)	1537999180220835989	0 2 18 20 60 62 72 74 138 140 192 194 228 230	-1286420307942
STPT(10)	1537999819762341107	0 2 30 32 42 44 54 56 84 86	-646878802824
SPT(16)	1538000167019648701	0 12 40 42 46 76 88 102 106 120 132 162 166 168 196 208	-299621495230
STPT(12)	1538000177302838189	0 2 12 14 42 44 90 92 120 122 132 134	-289338305742
STPT(10)	1538000438795393381	0 2 6 8 48 50 90 92 96 98	-27845750550
SPT(16)	1538000579003136503	0 6 24 48 50 66 104 120 134 150 188 204 206 230 248 254	112361992572
STPT(10)	1538000604303359879	0 2 42 44 90 92 138 140 180 182	137662215948
STPT(10)	1538001185310014021	0 2 36 38 78 80 120 122 156 158	718668870090
STPT(10)	1538001285722511017	0 2 42 44 72 74 102 104 144 146	819081367086
SPT(16)	1538001296073532141	0 10 42 78 88 102 108 148 150 190 196 210 220 256 288 298	829432388210