Prime p₀= 2306695959501530741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 88 2 58 2 10 2 28 2 (?)
a_n: 0 2 18 20 48 50 138 140 198 200 210 212 240 242
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: 242
Found by: Landjunge
db: batch=81, k=14, 16 28 88 58 10 28

SPT(16)	2306695425170421833	0 8 114 126 140 150 164 176 198 210 224 234 248 260 366 374	-534331108908
SPT(16)	2306695457816714131	0 16 18 30 40 46 88 90 178 180 222 228 238 250 252 268	-501684816610
SPT(16)	2306695663753827421	0 60 82 96 102 108 132 136 162 166 190 196 202 216 238 298	-295747703320
SPT(16)	2306695888876151537	0 6 36 84 140 156 182 204 212 234 260 276 332 380 410 416	-70625379204
STPT(10)	2306695905656561987	0 2 12 14 42 44 72 74 84 86	-53844968754
SPT(16)	2306695952888705491	0 12 18 70 72 148 166 196 222 252 270 346 348 400 406 418	-6612825250
STPT(10)	2306696121081459461	0 2 6 8 48 50 90 92 96 98	161579928720
STPT(10)	2306696259533933051	0 2 36 38 78 80 120 122 156 158	300032402310
STPT(10)	2306696370941432357	0 2 24 26 42 44 60 62 84 86	411439901616
SPT(16)	2306696417882698489	0 42 48 90 120 160 162 172 270 280 282 322 352 394 400 442	458381167748
STPT(10)	2306696803803431729	0 2 18 20 30 32 42 44 60 62	844301900988