Prime p₀= 1204836172763557991 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 28 2 58 2 112 2 34 2 (?)
a_n: 0 2 60 62 66 68 96 98 156 158 270 272 306 308
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: 308
Found by: Theadalus
db: batch=77, k=14, 58 4 28 58 112 34

STPT(10)	1204835418167336237	0 2 84 86 102 104 120 122 204 206	-754596221754
SPT(16)	1204835511205931587	0 6 10 30 72 76 94 120 196 222 240 244 286 306 310 316	-661557626404
SPT(16)	1204835660264763089	0 2 44 50 80 120 134 138 164 168 182 222 252 258 300 302	-512498794902
STPT(10)	1204835756794810097	0 2 60 62 72 74 84 86 144 146	-415968747894
STPT(10)	1204835927885646611	0 2 36 38 78 80 120 122 156 158	-244877911380
SPT(16)	1204836085328881991	0 30 86 126 128 140 146 156 212 222 228 240 242 282 338 368	-87434676000
SPT(16)	1204836233241897017	0 2 32 42 54 72 80 110 156 186 194 212 224 234 264 266	60478339026
SPT(16)	1204836417790300489	0 22 60 64 78 94 172 190 192 210 288 304 318 322 360 382	245026742498
SPT(16)	1204836660109285751	0 30 66 72 78 86 108 116 132 140 162 170 176 182 218 248	487345727760
TPT(14)	1204836924740899781	0 2 48 50 60 62 78 80 246 248 270 272 300 302	751977341790
STPT(10)	1204836958087593359	0 2 42 44 90 92 138 140 180 182	785324035368