Prime p₀= 1141398227744133131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 70 2 64 2 130 2 10 2 64 2 (?)
a_n: 0 2 108 110 180 182 246 248 378 380 390 392 456 458
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: 458
Found by: Theadalus
db: batch=76, k=14, 106 70 64 130 10 64

STPT(10)	1141397592757337681	0 2 96 98 108 110 120 122 216 218	-634986795450
STPT(10)	1141397758121418407	0 2 30 32 42 44 54 56 84 86	-469622714724
TPT(14)	1141397851388318729	0 2 30 32 78 80 102 104 132 134 168 170 240 242	-376355814402
STPT(10)	1141397861147115599	0 2 18 20 30 32 42 44 60 62	-366597017532
SPT(16)	1141397892529663529	0 50 78 90 132 150 168 182 210 224 242 260 302 314 342 392	-335214469602
SPT(16)	1141397899410985771	0 10 70 88 100 130 136 142 156 162 168 198 210 228 288 298	-328333147360
STPT(10)	1141398248776073381	0 2 36 38 78 80 120 122 156 158	21031940250
STPT(10)	1141398370807163759	0 2 12 14 90 92 168 170 180 182	143063030628
TPT(14)	1141398519131750807	0 2 30 32 90 92 114 116 144 146 210 212 300 302	291387617676
STPT(10)	1141398762449169797	0 2 42 44 72 74 102 104 144 146	534705036666
SPT(16)	1141398833298323489	0 8 14 24 32 38 42 138 164 260 264 270 278 288 294 302	605554190358