Prime p₀= 999142586267596817 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 34 2 40 2 88 2 88 2 10 2 (?)
a_n: 0 2 54 56 90 92 132 134 222 224 312 314 324 326
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: stoneageman
db: batch=76, k=14, 52 34 40 88 88 10

SPT(16)	999141962240566931	0 2 8 20 36 72 86 90 128 132 146 182 198 210 216 218	-624027029886
SPT(16)	999142183012355341	0 10 12 18 148 178 238 310 318 390 450 480 610 616 618 628	-403255241476
STPT(10)	999142275121548977	0 2 42 44 72 74 102 104 144 146	-311146047840
STPT(10)	999142333769762069	0 2 18 20 30 32 42 44 60 62	-252497834748
TPT(14)	999142373383598597	0 2 24 26 30 32 84 86 102 104 114 116 150 152	-212883998220
SPT(16)	999142441902156389	0 18 38 48 50 60 62 78 164 180 182 192 194 204 224 242	-144365440428
SPT(16)	999143182658280379	0 12 24 70 88 142 144 150 172 178 180 234 252 298 310 322	596390683562
STPT(10)	999143517996860417	0 2 30 32 42 44 54 56 84 86	931729263600
STPT(10)	999143762142679289	0 2 42 44 90 92 138 140 180 182	1175875082472
STPT(10)	999143882912365649	0 2 18 20 30 32 42 44 60 62	1296644768832
SPT(16)	999143978721834683	0 6 14 38 84 104 108 126 218 236 240 260 306 330 338 344	1392454237866