Prime p₀= 1223743818317085599 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 76 2 106 2 52 2 4 2 (?)
a_n: 0 2 30 32 42 44 120 122 228 230 282 284 288 290
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: 290
Found by: biodoc
db: batch=77, k=14, 28 10 76 106 52 4

SPT(16)	1223742372858429793	0 10 40 48 76 108 120 136 150 166 178 210 238 246 276 286	-1445458655806
TPT(14)	1223742732390889829	0 2 72 74 108 110 180 182 198 200 222 224 252 254	-1085926195770
SPT(16)	1223742791913830633	0 18 20 60 68 74 86 126 158 198 210 216 224 264 266 284	-1026403254966
SPT(16)	1223743044915848071	0 28 40 46 66 72 96 112 156 172 196 202 222 228 240 268	-773401237528
STPT(10)	1223743137090225977	0 2 30 32 42 44 54 56 84 86	-681226859622
STPT(10)	1223743541364130019	0 2 48 50 60 62 72 74 120 122	-276952955580
STPT(10)	1223744088919490597	0 2 30 32 42 44 54 56 84 86	270602404998
TPT(14)	1223744237925115631	0 2 6 8 48 50 126 128 168 170 180 182 228 230	419608030032
SPT(16)	1223744242270284809	0 42 50 60 72 78 158 180 200 222 302 308 320 330 338 380	423953199210
STPT(10)	1223744847124366517	0 2 30 32 42 44 54 56 84 86	1028807280918
SPT(16)	1223744912306641237	0 16 42 64 102 120 130 144 172 186 196 214 252 274 300 316	1093989555638