Prime p₀= 2724453993348313181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 196 2 16 2 40 2 40 2 46 2 16 2 (?)
a_n: 0 2 198 200 216 218 258 260 300 302 348 350 366 368
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: 368
Found by: JayPi
db: batch=82, k=14, 196 16 40 40 46 16

STPT(10)	2724452538183024917	0 2 30 32 72 74 114 116 144 146	-1455165288264
SPT(16)	2724452559374139667	0 34 42 54 76 82 126 156 160 190 234 240 262 274 282 316	-1433974173514
STPT(10)	2724453120607466747	0 2 30 32 72 74 114 116 144 146	-872740846434
STPT(10)	2724453258633926789	0 2 12 14 30 32 48 50 60 62	-734714386392
TPT(14)	2724453310260276557	0 2 30 32 54 56 174 176 210 212 222 224 252 254	-683088036624
STPT(10)	2724453387950151857	0 2 24 26 42 44 60 62 84 86	-605398161324
SPT(16)	2724454018831980217	0 34 52 76 94 112 126 156 220 250 264 282 300 324 342 376	25483667036
SPT(20)	2724454374965586047	0 12 26 32 44 56 66 74 92 102 134 144 162 170 180 192 204 210 224 236	381617272866
SPT(16)	2724454425812979187	0 40 72 76 124 160 186 196 240 250 276 312 360 364 396 436	432464666006
STPT(10)	2724454726992761459	0 2 12 14 90 92 168 170 180 182	733644448278
STPT(10)	2724454880429893139	0 2 12 14 90 92 168 170 180 182	887081579958