Prime p₀= 1413491833137344897 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 16 2 178 2 40 2 16 2 (?)
a_n: 0 2 30 32 54 56 72 74 252 254 294 296 312 314
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: 314
Found by: mcf2020
db: batch=78, k=14, 28 22 16 178 40 16

SPT(16)	1413490544034382483	0 4 60 70 90 118 138 160 174 196 216 244 264 274 330 334	-1289102962414
STPT(10)	1413490551026571047	0 2 30 32 60 62 90 92 120 122	-1282110773850
STPT(10)	1413490924522838597	0 2 42 44 72 74 102 104 144 146	-908614506300
TPT(14)	1413491082517488281	0 2 30 32 66 68 108 110 126 128 156 158 180 182	-750619856616
SPT(16)	1413491426785553293	0 6 16 28 34 36 40 58 96 114 118 120 126 138 148 154	-406351791604
TPT(14)	1413491702460566231	0 2 66 68 138 140 198 200 240 242 306 308 360 362	-130676778666
SPT(16)	1413491898271680517	0 10 12 30 36 66 72 90 142 160 166 196 202 220 222 232	65134335620
SPT(16)	1413492583321486739	0 14 60 78 84 152 162 170 192 200 210 278 284 302 348 362	750184141842
STPT(10)	1413493143971145437	0 2 54 56 72 74 90 92 144 146	1310833800540
STPT(10)	1413493419097163147	0 2 42 44 72 74 102 104 144 146	1585959818250
SPT(16)	1413493457148572389	0 42 64 78 84 88 94 120 142 168 174 178 184 198 220 262	1624011227492