Prime p₀= 2124460051571606249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 46 2 58 2 10 2 16 2 (?)
a_n: 0 2 72 74 90 92 138 140 198 200 210 212 228 230
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: 230
Found by: Landjunge
db: batch=80, k=14, 70 16 46 58 10 16

SPT(16)	2124459125964823421	0 26 50 60 90 92 102 126 146 170 180 182 212 222 246 272	-925606782828
SPT(16)	2124459188596327571	0 6 98 146 150 158 170 198 200 228 240 248 252 300 392 398	-862975278678
SPT(20)	2124459211022029711	0 18 22 46 60 166 222 228 286 312 316 342 400 406 462 568 582 606 610 628	-840549576538
SPT(16)	2124459276808028983	0 16 18 30 88 124 186 210 214 238 300 336 394 406 408 424	-774763577266
SPT(16)	2124459393542937877	0 60 82 90 132 142 174 180 214 220 252 262 304 312 334 394	-658028668372
STPT(10)	2124459783902831939	0 2 48 50 90 92 132 134 180 182	-267668774310
STPT(10)	2124460163729682197	0 2 42 44 72 74 102 104 144 146	112158075948
STPT(10)	2124460311678468089	0 2 18 20 30 32 42 44 60 62	260106861840
STPT(10)	2124460500526778891	0 2 36 38 78 80 120 122 156 158	448955172642
STPT(10)	2124460847918031941	0 2 48 50 108 110 168 170 216 218	796346425692
SPT(16)	2124460980972873623	0 6 26 120 134 194 204 216 218 230 240 300 314 408 428 434	929401267374