Prime p₀= 863273119964019641 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 28 2 124 2 10 2 10 2 (?)
a_n: 0 2 30 32 90 92 120 122 246 248 258 260 270 272
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: 272
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 28 58 28 124 10 10

SPT(13)	863272141821863071	0 30 42 96 102 132 156 180 210 216 270 282 312	-978142156570
SPT(16)	863272152306597413	0 6 14 84 116 128 146 150 164 168 186 198 230 300 308 314	-967657422228
STPT(10)	863272584864513581	0 2 6 8 18 20 30 32 36 38	-535099506060
STPT(10)	863272713185595467	0 2 30 32 42 44 54 56 84 86	-406778424174
SPT(16)	863272967433153287	0 2 24 44 90 92 104 140 156 192 204 206 252 272 294 296	-152530866354
TPT(14)	863273092467123407	0 2 60 62 144 146 192 194 210 212 264 266 354 356	-27496896234
SPT(16)	863273132501139797	0 72 84 92 114 120 132 140 246 254 266 272 294 302 314 386	12537120156
SPT(16)	863273151206013619	0 4 10 42 52 60 64 70 102 108 112 120 130 162 168 172	31241993978
STPT(10)	863273227025107397	0 2 42 44 72 74 102 104 144 146	107061087756
SPT(16)	863273709311680747	0 12 16 100 112 120 126 136 210 220 226 234 246 330 334 346	589347661106
SPT(16)	863273810747731343	0 24 74 86 90 114 126 140 174 188 200 224 228 240 290 314	690783711702