Prime p₀= 2854610044452179147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 82 2 64 2 40 2 178 2 16 2 (?)
a_n: 0 2 30 32 114 116 180 182 222 224 402 404 420 422
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: 422
Found by: Time_Traveler
db: batch=82, k=14, 28 82 64 40 178 16

SPT(16)	2854608936925571647	0 30 76 96 106 132 136 142 174 180 184 210 220 240 286 316	-1107526607500
TPT(14)	2854608942590663309	0 2 30 32 78 80 132 134 162 164 210 212 240 242	-1101861515838
STPT(10)	2854609461013266989	0 2 42 44 90 92 138 140 180 182	-583438912158
SPT(16)	2854609738975092877	0 64 84 94 114 126 130 132 214 216 220 232 252 262 282 346	-305477086270
SPT(16)	2854609757113127203	0 16 40 54 64 106 120 196 234 310 324 366 376 390 414 430	-287339051944
STPT(10)	2854609885480170281	0 2 36 38 78 80 120 122 156 158	-158972008866
STPT(10)	2854610111826516467	0 2 30 32 72 74 114 116 144 146	67374337320
STPT(10)	2854610131087087559	0 2 18 20 30 32 42 44 60 62	86634908412
SPT(16)	2854610359636644781	0 12 18 60 82 118 120 148 222 250 252 288 310 352 358 370	315184465634
SPT(16)	2854610435599860191	0 2 18 78 86 90 158 210 248 300 368 372 380 440 456 458	391147681044
STPT(10)	2854610628649002887	0 2 42 44 72 74 102 104 144 146	584196823740