Prime p₀= 1518431848358982239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 124 2 22 2 46 2 10 2 (?)
a_n: 0 2 18 20 72 74 198 200 222 224 270 272 282 284
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: 284
Found by: crashtech
db: batch=78, k=14, 16 52 124 22 46 10

SPT(16)	1518430581721386587	0 14 30 62 72 80 144 270 314 440 504 512 522 554 570 584	-1266637595652
SPT(16)	1518430595316360073	0 90 124 126 130 174 204 270 280 346 376 420 424 426 460 550	-1253042622166
STPT(10)	1518430777119659057	0 2 54 56 72 74 90 92 144 146	-1071239323182
STPT(10)	1518431113643256479	0 2 42 44 60 62 78 80 120 122	-734715725760
SPT(16)	1518431444714165203	0 48 66 88 94 118 124 138 166 180 186 210 216 238 256 304	-403644817036
SPT(16)	1518431800833086407	0 16 36 42 64 72 94 100 156 162 184 192 214 220 240 256	-47525895832
STPT(10)	1518431888555520737	0 2 30 32 42 44 54 56 84 86	40196538498
SPT(16)	1518432591546097333	0 16 18 108 126 186 196 210 214 228 238 298 316 406 408 424	743187115094
SPT(18)	1518432679693435117	0 24 36 42 84 124 132 150 156 160 166 184 192 232 274 280 292 316	831334452878
SPT(16)	1518432728207969257	0 10 34 52 54 60 82 94 120 132 154 160 162 180 204 214	879848987018
STPT(10)	1518433226019451109	0 2 18 20 30 32 42 44 60 62	1377660468870