Prime p₀= 1538911351250212109 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 28 2 40 2 94 2 82 2 (?)
a_n: 0 2 18 20 30 32 60 62 102 104 198 200 282 284
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: 284
Found by: BlackGoose05
db: batch=78, k=14, 16 10 28 40 94 82

SPT(16)	1538910074811405239	0 54 72 102 104 110 150 164 258 272 312 318 320 350 368 422	-1276438806870
STPT(10)	1538910242796503117	0 2 30 32 72 74 114 116 144 146	-1108453708992
SPT(16)	1538910408720193673	0 80 110 126 140 150 156 240 260 344 350 360 374 390 420 500	-942530018436
STPT(10)	1538911170361550801	0 2 6 8 48 50 90 92 96 98	-180888661308
STPT(10)	1538911227644039927	0 2 12 14 42 44 72 74 84 86	-123606172182
SPT(16)	1538911331321446961	0 8 50 72 138 156 180 182 216 218 242 260 326 348 390 398	-19928765148
STPT(10)	1538911583297577887	0 2 30 32 72 74 114 116 144 146	232047365778
SPT(16)	1538912013696447197	0 14 26 30 132 164 170 176 210 216 222 254 356 360 372 386	662446235088
SPT(16)	1538912042277257719	0 24 30 42 70 112 114 180 184 250 252 294 322 334 340 364	691027045610
SPT(16)	1538912255653436821	0 6 58 120 132 136 150 178 180 208 222 226 238 300 352 358	904403224712
STPT(10)	1538912377408245941	0 2 6 8 48 50 90 92 96 98	1026158033832