Prime p₀= 2606858261543783627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 10 2 46 2 28 2 (?)
a_n: 0 2 30 32 42 44 72 74 84 86 132 134 162 164
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: 164
Found by: JayPi
db: batch=82, k=14, 28 10 28 10 46 28

SPT(16)	2606855852991202751	0 2 30 60 116 126 152 168 170 186 212 222 278 308 336 338	-2408552580876
STPT(10)	2606855911789280519	0 2 18 20 30 32 42 44 60 62	-2349754503108
TPT(14)	2606856815963675579	0 2 42 44 108 110 120 122 252 254 258 260 300 302	-1445580108048
STPT(10)	2606857362426777371	0 2 6 8 18 20 30 32 36 38	-899117006256
STPT(10)	2606857789487064887	0 2 12 14 72 74 132 134 144 146	-472056718740
SPT(16)	2606857860009642299	0 14 30 60 74 78 110 128 144 162 194 198 212 242 258 272	-401534141328
STPT(10)	2606858846972131319	0 2 78 80 120 122 162 164 240 242	585428347692
STPT(10)	2606858990303756861	0 2 30 32 78 80 126 128 156 158	728759973234
TPT(14)	2606859014757026717	0 2 120 122 132 134 204 206 240 242 270 272 462 464	753213243090
SPT(16)	2606859088641945629	0 8 20 62 72 108 140 144 188 192 224 260 270 312 324 332	827098162002
SPT(16)	2606859316616802211	0 30 48 70 82 100 118 138 160 180 198 216 228 250 268 298	1055073018584