Prime p₀= 858989918575591529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 88 2 4 2 70 2 10 2 (?)
a_n: 0 2 60 62 102 104 192 194 198 200 270 272 282 284
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: 284
Found by: scrap
db: batch=73, k=14, 58 40 88 4 70 10

SPT(16)	858988593205496723	0 30 60 84 90 114 120 168 216 264 270 294 300 324 354 384	-1325370094806
SPT(16)	858989017920889901	0 38 78 122 132 140 180 188 210 218 258 266 276 320 360 398	-900654701628
STPT(10)	858989103165414581	0 2 6 8 48 50 90 92 96 98	-815410176948
SPT(16)	858989418089056517	0 6 32 42 92 120 162 174 182 194 236 264 314 324 350 356	-500486535012
STPT(10)	858989577789434447	0 2 30 32 72 74 114 116 144 146	-340786157082
SPT(16)	858989867401765651	0 6 12 30 40 48 118 132 166 180 250 258 268 286 292 298	-51173825878
STPT(10)	858990145686629219	0 2 48 50 90 92 132 134 180 182	227111037690
STPT(10)	858990183263051207	0 2 30 32 42 44 54 56 84 86	264687459678
SPT(16)	858990434275843193	0 56 78 80 86 98 104 108 146 150 156 168 174 176 198 254	515700251664
STPT(10)	858990513001035971	0 2 6 8 48 50 90 92 96 98	594425444442
TPT(14)	858990563740562189	0 2 60 62 72 74 138 140 180 182 210 212 222 224	645164970660