Prime p₀= 1362897307504508561 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 64 2 40 2 16 2 22 2 (?)
a_n: 0 2 30 32 90 92 156 158 198 200 216 218 240 242
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: stoneageman
db: batch=77, k=14, 28 58 64 40 16 22

SPT(16)	1362896201107270171	0 40 42 46 52 66 70 96 172 198 202 216 222 226 228 268	-1106397238390
SPT(16)	1362896232529423727	0 14 24 32 44 90 104 122 192 210 224 270 282 290 300 314	-1074975084834
SPT(16)	1362896306176986101	0 8 42 78 80 92 108 146 252 290 306 318 320 356 390 398	-1001327522460
STPT(12)	1362896843755357499	0 2 12 14 30 32 180 182 198 200 210 212	-463749151062
STPT(10)	1362897012375822797	0 2 30 32 42 44 54 56 84 86	-295128685764
STPT(10)	1362897141890499539	0 2 42 44 60 62 78 80 120 122	-165614009022
STPT(10)	1362897336596627327	0 2 12 14 42 44 72 74 84 86	29092118766
STPT(10)	1362897431457008729	0 2 18 20 60 62 102 104 120 122	123952500168
STPT(10)	1362897569534502011	0 2 48 50 108 110 168 170 216 218	262029993450
SPT(16)	1362897576222304373	0 18 30 60 86 98 128 144 170 186 216 228 254 284 296 314	268717795812
SPT(16)	1362897893352796327	0 30 42 64 90 102 154 172 174 192 244 256 282 304 316 346	585848287766