Prime p₀= 2663308858660328519 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 70 2 46 2 16 2 22 2 28 2 (?)
a_n: 0 2 60 62 132 134 180 182 198 200 222 224 252 254
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: Dirk Broer
db: batch=82, k=14, 58 70 46 16 22 28

SPT(16)	2663306634906349637	0 30 44 56 80 104 116 170 270 324 336 360 384 396 410 440	-2223753978882
SPT(16)	2663306744984880101	0 8 18 42 50 60 92 122 126 156 188 198 206 230 240 248	-2113675448418
STPT(10)	2663307495028123379	0 2 42 44 60 62 78 80 120 122	-1363632205140
STPT(10)	2663307638197679069	0 2 18 20 60 62 102 104 120 122	-1220462649450
TPT(14)	2663307668152186751	0 2 36 38 48 50 66 68 126 128 210 212 216 218	-1190508141768
SPT(16)	2663308494444036371	0 60 66 78 80 92 116 150 158 192 216 228 230 242 248 308	-364216292148
SPT(16)	2663308972025721709	0 18 28 40 72 148 184 202 210 228 264 340 372 384 394 412	113365393190
STPT(10)	2663309688113042987	0 2 12 14 72 74 132 134 144 146	829452714468
SPT(16)	2663309755107180631	0 12 28 30 60 70 118 138 160 180 228 238 268 270 286 298	896446852112
TPT(14)	2663310076468288517	0 2 30 32 54 56 270 272 312 314 342 344 504 506	1217807959998
SPT(20)	2663310231631129111	0 10 30 36 78 100 132 150 162 246 322 406 418 436 468 490 532 538 558 568	1372970800592