Prime p₀= 2199523426595308937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 34 2 10 2 10 2 16 2 (?)
a_n: 0 2 30 32 54 56 90 92 102 104 114 116 132 134
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: 134
Found by: Penguin
db: batch=81, k=14, 28 22 34 10 10 16

SPT(16)	2199521971461800569	0 28 30 34 48 72 78 94 138 154 160 184 198 202 204 232	-1455133508368
STPT(10)	2199521975074382009	0 2 18 20 60 62 102 104 120 122	-1451520926928
STPT(10)	2199522446927810099	0 2 18 20 30 32 42 44 60 62	-979667498838
SPT(16)	2199522559298677747	0 4 24 40 82 112 120 124 150 154 162 192 234 250 270 274	-867296631190
STPT(10)	2199522856068754829	0 2 18 20 30 32 42 44 60 62	-570526554108
STPT(10)	2199522969144131957	0 2 60 62 72 74 84 86 144 146	-457451176980
STPT(10)	2199523562847070487	0 2 30 32 42 44 54 56 84 86	136251761550
SPT(16)	2199523606656276877	0 34 40 42 54 84 132 144 190 202 250 280 292 294 300 334	180060967940
SPT(16)	2199523614407278213	0 10 88 124 126 130 294 306 328 340 504 508 510 546 624 634	187811969276
SPT(16)	2199523827726622093	0 16 48 58 60 64 90 100 144 154 180 184 186 196 228 244	401131313156
SPT(16)	2199523933012940089	0 10 22 52 100 108 168 174 178 184 244 252 300 330 342 352	506417631152