Prime p₀= 812963022166946969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 160 2 16 2 76 2 100 2 28 2 10 2 (?)
a_n: 0 2 162 164 180 182 258 260 360 362 390 392 402 404
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: 404
Found by: [SG]FX
db: batch=73, k=14, 160 16 76 100 28 10

STPT(10)	812962369189550639	0 2 42 44 90 92 138 140 180 182	-652977396330
STPT(10)	812962417638344681	0 2 138 140 168 170 198 200 336 338	-604528602288
STPT(10)	812962483635163781	0 2 78 80 108 110 138 140 216 218	-538531783188
SPT(16)	812962553269235267	0 6 54 92 126 132 134 140 216 222 224 230 264 302 350 356	-468897711702
STPT(10)	812962838424133877	0 2 30 32 42 44 54 56 84 86	-183742813092
STPT(10)	812962860495809207	0 2 30 32 60 62 90 92 120 122	-161671137762
SPT(16)	812963294271625729	0 18 58 70 88 94 100 108 130 138 144 150 168 180 220 238	272104678760
STPT(10)	812963453999323787	0 2 30 32 42 44 54 56 84 86	431832376818
SPT(16)	812963505135203797	0 6 22 40 42 46 64 82 204 222 240 244 246 264 280 286	482968256828
SPT(16)	812963617424279837	0 14 24 62 90 110 150 182 234 266 306 326 354 392 402 416	595257332868
SPT(16)	812963748696405641	0 18 32 38 140 150 168 240 278 350 368 378 480 486 500 518	726529458672