Prime p₀= 1294391925065603867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 166 2 10 2 16 2 22 2 (?)
a_n: 0 2 24 26 72 74 240 242 252 254 270 272 294 296
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: 296
Found by: Cruncher Pete
db: batch=77, k=14, 22 46 166 10 16 22

SPT(16)	1294390390514758253	0 6 48 54 66 78 80 126 188 234 236 248 260 266 308 314	-1534550845614
STPT(10)	1294390793550010097	0 2 30 32 42 44 54 56 84 86	-1131515593770
SPT(16)	1294391012589177179	0 8 32 68 92 110 144 204 248 308 342 360 384 420 444 452	-912476426688
STPT(10)	1294391141356120007	0 2 54 56 72 74 90 92 144 146	-783709483860
STPT(10)	1294391238014316809	0 2 48 50 90 92 132 134 180 182	-687051287058
SPT(16)	1294391818048258639	0 40 42 52 84 94 112 114 160 162 180 190 222 232 234 274	-107017345228
SPT(16)	1294392052348260113	0 6 50 56 68 80 84 146 198 260 264 276 288 294 338 344	127282656246
SPT(16)	1294392477594080957	0 32 36 56 60 86 92 102 110 120 126 152 156 176 180 212	552528477090
SPT(16)	1294392947450051143	0 58 60 94 118 136 144 148 156 160 168 186 210 244 246 304	1022384447276
SPT(16)	1294393096035590791	0 22 42 60 118 120 196 210 238 252 328 330 388 406 426 448	1170969986924
TPT(14)	1294393161373150211	0 2 36 38 90 92 126 128 168 170 216 218 240 242	1236307546344