Prime p₀= 1638413302109316947 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 4 2 40 2 28 2 10 2 (?)
a_n: 0 2 30 32 54 56 60 62 102 104 132 134 144 146
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: 146
Found by: xii5ku
db: batch=78, k=14, 28 22 4 40 28 10

SPT(16)	1638412148874727067	0 32 72 74 90 116 186 206 210 230 300 326 342 344 384 416	-1153234589880
STPT(10)	1638412610545449587	0 2 30 32 60 62 90 92 120 122	-691563867360
TPT(14)	1638412627417632137	0 2 24 26 54 56 84 86 222 224 234 236 282 284	-674691684810
SPT(16)	1638412740821185753	0 6 34 36 58 84 90 100 144 154 160 186 208 210 238 244	-561288131194
STPT(10)	1638412816887145931	0 2 30 32 78 80 126 128 156 158	-485222171016
STPT(10)	1638413287165302761	0 2 36 38 78 80 120 122 156 158	-14944014186
STPT(10)	1638413443264031279	0 2 18 20 30 32 42 44 60 62	141154714332
SPT(16)	1638414080411013593	0 6 48 78 90 98 128 158 186 216 246 254 266 296 338 344	778301696646
SPT(16)	1638414364924741787	0 6 26 32 42 110 116 140 186 210 216 284 294 300 320 326	1062815424840
STPT(10)	1638414511376746247	0 2 60 62 72 74 84 86 144 146	1209267429300
TPT(14)	1638414667492379471	0 2 6 8 30 32 48 50 60 62 90 92 156 158	1365383062524