Prime p₀= 1578239771742976877 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 28 2 22 2 34 2 22 2 58 2 (?)
a_n: 0 2 120 122 150 152 174 176 210 212 234 236 294 296
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: xii5ku
db: batch=78, k=14, 118 28 22 34 22 58

SPT(16)	1578238232964726373	0 6 28 40 60 94 96 106 108 118 120 154 174 186 208 214	-1538778250504
TPT(14)	1578238293397607507	0 2 12 14 72 74 150 152 162 164 204 206 210 212	-1478345369370
SPT(16)	1578238783973892109	0 28 82 88 102 132 138 168 172 202 208 238 252 258 312 340	-987769084768
SPT(16)	1578238840543099961	0 2 20 30 42 48 66 72 116 122 140 146 158 168 186 188	-931199876916
TPT(14)	1578238848807980741	0 2 48 50 90 92 96 98 126 128 156 158 180 182	-922934996136
TPT(14)	1578239099028616667	0 2 30 32 54 56 84 86 144 146 192 194 264 266	-672714360210
SPT(16)	1578240011369948959	0 22 82 102 138 142 160 172 240 252 270 274 310 330 390 412	239626972082
SPT(16)	1578240153225917789	0 38 54 80 84 132 152 180 182 210 230 278 282 308 324 362	381482940912
STPT(10)	1578240343136812109	0 2 18 20 30 32 42 44 60 62	571393835232
SPT(16)	1578240473082108757	0 6 22 64 102 126 174 202 204 232 280 304 342 384 400 406	701339131880
TPT(14)	1578240935942501399	0 2 72 74 90 92 162 164 228 230 270 272 288 290	1164199524522