Prime p₀= 2431810742707820921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 40 2 40 2 184 2 52 2 (?)
a_n: 0 2 30 32 66 68 108 110 150 152 336 338 390 392
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: 392
Found by: JayPi
db: batch=82, k=14, 28 34 40 40 184 52

SPT(16)	2431809500197089697	0 34 46 60 76 84 112 126 130 144 172 180 196 210 222 256	-1242510731224
STPT(10)	2431809538340657117	0 2 24 26 42 44 60 62 84 86	-1204367163804
STPT(10)	2431810030127679527	0 2 60 62 72 74 84 86 144 146	-712580141394
SPT(16)	2431810280822236273	0 10 58 78 100 108 120 138 196 214 226 234 256 276 324 334	-461885584648
STPT(10)	2431810590887624657	0 2 12 14 42 44 72 74 84 86	-151820196264
STPT(10)	2431810641938161481	0 2 6 8 48 50 90 92 96 98	-100769659440
TPT(14)	2431811347378684487	0 2 12 14 102 104 192 194 210 212 240 242 360 362	604670863566
STPT(10)	2431811466141196169	0 2 18 20 30 32 42 44 60 62	723433375248
SPT(16)	2431811554951612927	0 16 22 42 66 90 100 106 156 162 172 196 220 240 246 262	812243792006
SPT(16)	2431811673833877733	0 88 94 100 114 144 178 180 184 186 220 250 264 270 276 364	931126056812
SPT(16)	2431811767913126461	0 42 52 76 90 100 150 156 172 178 228 238 252 276 286 328	1025205305540