Prime p₀= 1427240493486316499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 178 2 22 2 58 2 16 2 (?)
a_n: 0 2 12 14 18 20 198 200 222 224 282 284 300 302
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: 302
Found by: stanley a bourdon
db: batch=78, k=14, 10 4 178 22 58 16

SPT(16)	1427239232440255231	0 12 28 46 60 78 82 90 118 126 130 148 162 180 196 208	-1261046061268
TPT(14)	1427240009233195541	0 2 18 20 60 62 66 68 96 98 138 140 168 170	-484253120958
STPT(10)	1427240068344678557	0 2 30 32 72 74 114 116 144 146	-425141637942
SPT(16)	1427240265795490579	0 58 88 174 220 240 244 270 292 318 322 342 388 474 504 562	-227690825920
TPT(14)	1427240347374777491	0 2 6 8 48 50 78 80 90 92 96 98 108 110	-146111539008
STPT(10)	1427240348701177847	0 2 12 14 72 74 132 134 144 146	-144785138652
STPT(10)	1427240705154305099	0 2 42 44 60 62 78 80 120 122	211667988600
SPT(16)	1427240712909625841	0 36 42 62 80 90 110 120 152 162 182 192 210 230 236 272	219423309342
SPT(16)	1427240937161052193	0 34 36 70 76 78 88 90 124 126 136 138 144 178 180 214	443674735694
TPT(14)	1427241072329359709	0 2 42 44 78 80 102 104 120 122 132 134 168 170	578843043210
SPT(16)	1427241099235199123	0 14 30 56 78 80 134 170 234 270 324 326 348 374 390 404	605748882624