Prime p₀= 2688724135670380187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 70 2 16 2 76 2 10 2 (?)
a_n: 0 2 42 44 72 74 144 146 162 164 240 242 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 40 28 70 16 76 10

STPT(10)	2688722899278217157	0 2 30 32 72 74 114 116 144 146	-1236392163030
SPT(16)	2688723030012142939	0 12 34 40 72 100 114 168 214 268 282 310 342 348 370 382	-1105658237248
SPT(16)	2688723185635762487	0 86 102 114 132 146 164 200 216 252 270 284 302 314 330 416	-950034617700
STPT(10)	2688723257748382409	0 2 18 20 60 62 102 104 120 122	-877921997778
STPT(10)	2688723755451129827	0 2 30 32 72 74 114 116 144 146	-380219250360
TPT(14)	2688723957926058707	0 2 42 44 114 116 132 134 144 146 210 212 282 284	-177744321480
STPT(10)	2688724195633390487	0 2 60 62 72 74 84 86 144 146	59963010300
TPT(14)	2688724447087419281	0 2 30 32 48 50 60 62 168 170 210 212 246 248	311417039094
SPT(16)	2688724783298137009	0 4 12 28 34 48 54 82 270 298 304 318 324 340 348 352	647627756822
TPT(14)	2688724992118742957	0 2 72 74 132 134 144 146 204 206 210 212 240 242	856448362770
SPT(16)	2688725223876770503	0 40 78 88 124 144 174 208 216 250 280 300 336 346 384 424	1088206390316