Prime p₀= 3016108679538110207 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 16 2 88 2 28 2 88 2 10 2 (?)
a_n: 0 2 102 104 120 122 210 212 240 242 330 332 342 344
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: 344
Found by: JonS
db: batch=82, k=14, 100 16 88 28 88 10

SPT(16)	3016108033521362387	0 24 26 72 90 164 174 192 314 332 342 416 434 480 482 506	-646016747820
STPT(10)	3016108033568978399	0 2 18 20 30 32 42 44 60 62	-645969131808
SPT(16)	3016108425202604183	0 8 36 56 110 128 134 188 246 300 306 324 378 398 426 434	-254335506024
SPT(16)	3016108510129844047	0 24 36 42 64 76 106 112 114 120 150 162 184 190 202 226	-169408266160
SPT(16)	3016108528921369117	0 4 22 60 82 112 120 124 132 136 144 174 196 234 252 256	-150616741090
SPT(16)	3016108595911523209	0 10 30 34 100 118 168 172 180 184 234 252 318 322 342 352	-83626586998
SPT(16)	3016108694780027411	0 26 42 48 60 80 90 102 146 158 168 188 200 206 222 248	15241917204
STPT(10)	3016108724391188549	0 2 12 14 30 32 48 50 60 62	44853078342
SPT(16)	3016109004446805857	0 2 14 56 62 74 90 102 104 116 132 144 150 192 204 206	324908695650
STPT(10)	3016109049595171487	0 2 42 44 72 74 102 104 144 146	370057061280
SPT(16)	3016109138361041309	0 30 38 90 110 174 222 264 308 350 398 462 482 534 542 572	458822931102