Prime p₀= 1030721450323677449 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 250 2 34 2 10 2 58 2 16 2 (?)
a_n: 0 2 30 32 282 284 318 320 330 332 390 392 408 410
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: 410
Found by: Theadalus
db: batch=76, k=14, 28 250 34 10 58 16

SPT(16)	1030719942079100881	0 28 58 82 112 130 138 142 156 160 168 186 216 240 270 298	-1508244576568
STPT(10)	1030720352804966567	0 2 42 44 72 74 102 104 144 146	-1097518710882
SPT(16)	1030720522571928803	0 20 66 86 108 128 140 146 168 174 186 206 228 248 294 314	-927751748646
SPT(16)	1030721160233988653	0 24 48 50 84 104 128 134 204 210 234 254 288 290 314 338	-290089688796
SPT(16)	1030721220992256769	0 28 48 52 70 120 150 178 222 250 280 330 348 352 372 400	-229331420680
STPT(10)	1030721369408117687	0 2 24 26 42 44 60 62 84 86	-80915559762
SPT(16)	1030721907911099221	0 10 28 82 102 112 126 132 136 142 156 166 186 240 258 268	457587421772
TPT(14)	1030722001732910579	0 2 78 80 162 164 180 182 198 200 210 212 222 224	551409233130
STPT(10)	1030722038470702607	0 2 30 32 42 44 54 56 84 86	588147025158
TPT(14)	1030722100473934247	0 2 12 14 42 44 84 86 150 152 222 224 372 374	650150256798
SPT(16)	1030722485610272087	0 12 26 42 80 90 140 174 182 216 266 276 314 330 344 356	1035286594638