Prime p₀= 3034480282488176939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 58 2 16 2 22 2 148 2 4 2 (?)
a_n: 0 2 180 182 240 242 258 260 282 284 432 434 438 440
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: 440
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 178 58 16 22 148 4

SPT(16)	3034478811555077149	0 30 58 60 72 118 124 174 238 288 294 340 352 354 382 412	-1470933099790
STPT(10)	3034479147785717417	0 2 30 32 60 62 90 92 120 122	-1134702459522
SPT(16)	3034479500626182913	0 10 30 36 64 96 106 126 148 168 178 210 238 244 264 274	-781861994026
STPT(10)	3034479612611771369	0 2 12 14 90 92 168 170 180 182	-669876405570
SPT(16)	3034479758800081903	0 54 58 70 190 208 240 264 334 358 390 408 528 540 544 598	-523688095036
SPT(16)	3034479859590681679	0 22 24 30 48 102 108 112 150 154 160 214 232 238 240 262	-422897495260
STPT(10)	3034480482583673087	0 2 30 32 42 44 54 56 84 86	200095496148
TPT(14)	3034480522910636741	0 2 6 8 60 62 168 170 186 188 198 200 348 350	240422459802
SPT(16)	3034481150192604193	0 48 60 78 154 174 196 226 228 258 280 300 376 394 406 454	867704427254
STPT(10)	3034481257228295837	0 2 30 32 42 44 54 56 84 86	974740118898
TPT(14)	3034481493304409117	0 2 12 14 60 62 102 104 144 146 180 182 210 212	1210816232178