Prime p₀= 2724453310260276557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 118 2 34 2 10 2 28 2 (?)
a_n: 0 2 30 32 54 56 174 176 210 212 222 224 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 28 22 118 34 10 28

STPT(10)	2724451649737263557	0 2 42 44 72 74 102 104 144 146	-1660523013000
SPT(16)	2724452408358140309	0 2 42 50 90 98 108 114 188 194 204 212 252 260 300 302	-901902136248
STPT(10)	2724452538183024917	0 2 30 32 72 74 114 116 144 146	-772077251640
SPT(16)	2724452559374139667	0 34 42 54 76 82 126 156 160 190 234 240 262 274 282 316	-750886136890
STPT(10)	2724453120607466747	0 2 30 32 72 74 114 116 144 146	-189652809810
STPT(10)	2724453258633926789	0 2 12 14 30 32 48 50 60 62	-51626349768
STPT(10)	2724453387950151857	0 2 24 26 42 44 60 62 84 86	77689875300
TPT(14)	2724453993348313181	0 2 198 200 216 218 258 260 300 302 348 350 366 368	683088036624
SPT(16)	2724454018831980217	0 34 52 76 94 112 126 156 220 250 264 282 300 324 342 376	708571703660
SPT(20)	2724454374965586047	0 12 26 32 44 56 66 74 92 102 134 144 162 170 180 192 204 210 224 236	1064705309490
SPT(16)	2724454425812979187	0 40 72 76 124 160 186 196 240 250 276 312 360 364 396 436	1115552702630