Prime p₀= 2121816078724569419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 40 2 58 2 40 2 34 2 (?)
a_n: 0 2 78 80 108 110 150 152 210 212 252 254 288 290
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: 290
Found by: arkiss
db: batch=80, k=14, 76 28 40 58 40 34

SPT(16)	2121815110975450799	0 2 38 44 62 72 80 98 174 192 200 210 228 234 270 272	-967749118620
STPT(10)	2121815461911267971	0 2 30 32 60 62 90 92 120 122	-616813301448
SPT(16)	2121815480302196213	0 6 14 20 44 66 168 188 216 236 338 360 384 390 398 404	-598422373206
SPT(16)	2121815695169156137	0 16 40 76 84 90 100 130 156 186 196 202 210 246 270 286	-383555413282
SPT(16)	2121815793752780933	0 30 36 48 78 98 110 126 140 156 168 188 218 230 236 266	-284971788486
STPT(10)	2121816066337790321	0 2 36 38 78 80 120 122 156 158	-12386779098
SPT(16)	2121816155486858953	0 40 114 118 160 168 174 184 234 244 250 258 300 304 378 418	76762289534
STPT(10)	2121816287144398259	0 2 48 50 60 62 72 74 120 122	208419828840
TPT(14)	2121816504057897629	0 2 108 110 162 164 222 224 300 302 342 344 360 362	425333328210
STPT(10)	2121816592632986939	0 2 18 20 30 32 42 44 60 62	513908417520
STPT(10)	2121816632749586291	0 2 30 32 78 80 126 128 156 158	554025016872