Prime p₀= 2760803034739993721 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 16 2 88 2 46 2 10 2 (?)
a_n: 0 2 30 32 60 62 78 80 168 170 216 218 228 230
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: 230
Found by: JayPi
db: batch=82, k=14, 28 28 16 88 46 10

SPT(16)	2760801696312481337	0 6 20 32 50 74 92 120 146 174 192 216 234 246 260 266	-1338427512384
STPT(10)	2760801874656983321	0 2 66 68 108 110 150 152 216 218	-1160083010400
SPT(16)	2760802034875588243	0 18 24 36 64 124 138 144 190 196 210 270 298 310 316 334	-999864405478
SPT(16)	2760802090127963153	0 30 38 44 84 86 126 150 164 188 228 230 270 276 284 314	-944612030568
SPT(16)	2760802246867183613	0 20 84 96 120 150 180 210 230 260 290 320 344 356 420 440	-787872810108
STPT(10)	2760802972480101959	0 2 48 50 90 92 132 134 180 182	-62259891762
SPT(16)	2760803151439845121	0 16 30 42 58 78 96 100 108 112 130 150 166 178 192 208	116699851400
STPT(10)	2760803472260356667	0 2 42 44 72 74 102 104 144 146	437520362946
TPT(14)	2760803589146378549	0 2 12 14 48 50 132 134 180 182 198 200 222 224	554406384828
SPT(16)	2760803719170673889	0 38 48 84 98 188 192 198 224 230 234 324 338 374 384 422	684430680168
SPT(16)	2760804033504125449	0 18 22 42 64 78 102 112 240 250 274 288 310 330 334 352	998764131728