Prime p₀= 2393060040108745949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 10 2 214 2 10 2 28 2 (?)
a_n: 0 2 12 14 30 32 42 44 258 260 270 272 300 302
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: 302
Found by: Landjunge
db: batch=81, k=14, 10 16 10 214 10 28

SPT(16)	2393058554274548423	0 18 44 60 68 84 86 134 390 438 440 456 464 480 506 524	-1485834197526
SPT(16)	2393059218804478837	0 40 46 60 70 82 100 130 222 252 270 282 292 306 312 352	-821304267112
SPT(16)	2393059325151563701	0 10 12 58 90 136 142 178 240 276 282 328 360 406 408 418	-714957182248
SPT(16)	2393059395445204457	0 2 54 60 66 96 114 140 156 182 200 230 236 242 294 296	-644663541492
STPT(10)	2393059636126802141	0 2 36 38 78 80 120 122 156 158	-403981943808
SPT(16)	2393059973935524679	0 4 34 102 114 142 154 184 300 330 342 370 382 450 480 484	-66173221270
SPT(16)	2393060063126394539	0 44 48 50 78 120 132 150 152 170 182 224 252 254 258 302	23017648590
TPT(14)	2393060167203405617	0 2 24 26 54 56 162 164 192 194 210 212 222 224	127094659668
STPT(12)	2393060406022389329	0 2 42 44 48 50 72 74 78 80 120 122	365913643380
STPT(10)	2393060839143146057	0 2 12 14 42 44 72 74 84 86	799034400108
SPT(16)	2393060897431061597	0 26 32 60 62 104 180 182 234 236 312 354 356 384 390 416	857322315648