Prime p₀= 901666363822100417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 70 2 16 2 46 2 130 2 (?)
a_n: 0 2 30 32 72 74 144 146 162 164 210 212 342 344
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: 344
Found by: Theadalus
db: batch=76, k=14, 28 40 70 16 46 130

SPT(16)	901665367603708159	0 28 60 78 102 162 222 240 280 298 358 418 442 460 492 520	-996218392258
TPT(14)	901665403812617219	0 2 18 20 72 74 180 182 222 224 228 230 270 272	-960009483198
STPT(10)	901665424226490527	0 2 42 44 102 104 162 164 204 206	-939595609890
STPT(10)	901665713653283207	0 2 30 32 72 74 114 116 144 146	-650168817210
SPT(16)	901665720178463027	0 30 42 56 86 102 110 132 140 162 170 186 216 230 242 272	-643643637390
SPT(16)	901666286613380107	0 40 42 52 112 130 166 172 234 240 276 294 354 364 366 406	-77208720310
SPT(16)	901666484284424569	0 12 54 60 72 102 130 184 198 252 280 310 322 328 370 382	120462324152
SPT(16)	901666491751941121	0 52 76 82 112 120 166 178 180 192 238 246 276 282 306 358	127929840704
STPT(10)	901667017298895371	0 2 108 110 138 140 168 170 276 278	653476794954
SPT(16)	901667908137852809	0 2 20 72 98 120 140 150 272 282 302 324 350 402 420 422	1544315752392
SPT(16)	901668223192315561	0 10 36 138 142 156 166 190 198 222 232 246 250 352 378 388	1859370215144