Prime p₀= 1028167676856508289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 112 2 46 2 118 2 28 2 (?)
a_n: 0 2 12 14 48 50 162 164 210 212 330 332 360 362
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: 362
Found by: HenkM
db: batch=76, k=14, 10 34 112 46 118 28

SPT(16)	1028166329633599931	0 32 42 60 92 102 110 192 218 300 308 318 350 368 378 410	-1347222908358
STPT(10)	1028166588266952611	0 2 36 38 78 80 120 122 156 158	-1088589555678
SPT(16)	1028166799066874791	0 16 18 58 90 100 102 132 256 286 288 298 330 370 372 388	-877789633498
SPT(16)	1028167173042523939	0 34 42 84 112 118 124 130 132 138 144 150 178 220 228 262	-503813984350
STPT(12)	1028167252738371209	0 2 60 62 90 92 168 170 198 200 258 260	-424118137080
STPT(10)	1028167589578915601	0 2 6 8 48 50 90 92 96 98	-87277592688
SPT(16)	1028167843731916571	0 32 50 116 120 132 182 186 206 210 260 272 276 342 360 392	166875408282
STPT(10)	1028168156341462889	0 2 18 20 30 32 42 44 60 62	479484954600
STPT(10)	1028168220422620967	0 2 30 32 42 44 54 56 84 86	543566112678
SPT(16)	1028168232772792607	0 14 44 86 90 122 146 156 200 210 234 266 270 312 342 356	555916284318
SPT(16)	1028168606529078023	0 14 66 98 104 120 126 164 210 248 254 270 276 308 360 374	929672569734