Prime p₀= 2030342055761567939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 34 2 70 2 40 2 4 2 (?)
a_n: 0 2 30 32 72 74 108 110 180 182 222 224 228 230
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: 230
Found by: Landjunge
db: batch=80, k=14, 28 40 34 70 40 4

SPT(16)	2030340416987909023	0 4 6 30 40 64 78 106 138 166 180 204 214 238 240 244	-1638773658916
SPT(16)	2030340704992528319	0 2 30 68 122 132 138 152 270 284 290 300 354 392 420 422	-1350769039620
STPT(10)	2030340842535105311	0 2 30 32 78 80 126 128 156 158	-1213226462628
STPT(10)	2030341359107286521	0 2 6 8 18 20 30 32 36 38	-696654281418
SPT(16)	2030341442095270067	0 32 36 56 150 152 162 176 186 200 210 212 306 326 330 362	-613666297872
STPT(10)	2030341927328526167	0 2 42 44 72 74 102 104 144 146	-128433041772
SPT(16)	2030342693939277937	0 4 6 30 46 64 66 94 126 154 156 174 190 214 216 220	638177709998
SPT(16)	2030342823304669117	0 60 82 90 96 102 126 160 222 256 280 286 292 300 322 382	767543101178
STPT(10)	2030343213699997289	0 2 30 32 60 62 90 92 120 122	1157938429350
SPT(16)	2030343402540404953	0 24 30 46 84 100 106 136 198 228 234 250 288 304 310 334	1346778837014
STPT(10)	2030343726262546697	0 2 30 32 60 62 90 92 120 122	1670500978758