Prime p₀= 502163076425280161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 40 2 10 2 154 2 10 2 (?)
a_n: 0 2 90 92 126 128 168 170 180 182 336 338 348 350
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: 350
Found by: Roadranner
db: batch=71, k=14, 88 34 40 10 154 10

SPT(14)	502162970106614837	0 14 42 80 86 122 174 182 234 270 276 314 342 356	-106318665324
SPT(14)	502162970799901717	0 4 22 36 60 82 96 160 174 196 220 234 252 256	-105625378444
SPT(14)	502162980731243479	0 40 42 72 142 154 204 250 300 312 382 412 414 454	-95694036682
SPT(14)	502162983466415629	0 4 12 18 22 28 40 102 114 120 124 130 138 142	-92958864532
SPT(14)	502162983772647601	0 6 42 76 106 108 112 126 130 132 162 196 232 238	-92652632560
SPT(14)	502163057997863047	0 60 64 84 100 112 120 136 144 156 172 192 196 256	-18427417114
TPT(12)	502163080975486529	0 2 18 20 132 134 210 212 222 224 240 242	4550206368
TPT(12)	502163098079715857	0 2 12 14 30 32 54 56 72 74 114 116	21654435696
SPT(14)	502163122866925967	0 6 20 72 80 140 252 254 366 426 434 486 500 506	46441645806
TPT(12)	502163123862230651	0 2 18 20 30 32 36 38 120 122 186 188	47436950490
SPT(14)	502163135326597519	0 12 24 34 40 54 90 172 208 222 228 238 250 262	58901317358