Prime p₀= 2142414109892761097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 34 2 28 2 10 2 16 2 (?)
a_n: 0 2 54 56 84 86 120 122 150 152 162 164 180 182
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: 182
Found by: KAMCOBILL
db: batch=80, k=14, 52 28 34 28 10 16

SPT(16)	2142412315369408337	0 26 30 90 132 134 180 230 246 296 342 344 386 446 450 476	-1794523352760
STPT(12)	2142412667578054799	0 2 30 32 42 44 90 92 102 104 132 134	-1442314706298
SPT(16)	2142412767409830263	0 6 14 60 134 140 186 200 204 218 264 270 344 390 398 404	-1342482930834
TPT(14)	2142412796425789289	0 2 78 80 132 134 138 140 180 182 318 320 372 374	-1313466971808
SPT(16)	2142412887424005149	0 18 30 44 98 104 114 120 128 134 144 150 204 218 230 248	-1222468755948
TPT(14)	2142413936246381867	0 2 54 56 60 62 144 146 192 194 222 224 354 356	-173646379230
SPT(16)	2142414172246205183	0 6 18 20 56 110 140 144 170 174 204 258 294 296 308 314	62353444086
SPT(16)	2142414246809133907	0 12 24 102 124 130 142 154 252 264 276 282 304 382 394 406	136916372810
SPT(16)	2142414255837455323	0 6 16 36 64 66 70 76 114 120 124 126 154 174 184 190	145944694226
SPT(16)	2142414495684170629	0 4 10 12 34 52 70 78 94 102 120 138 160 162 168 172	385791409532
STPT(10)	2142414821028190571	0 2 36 38 78 80 120 122 156 158	711135429474