Prime p₀= 820186491381937451 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 34 2 70 2 28 2 28 2 (?)
a_n: 0 2 36 38 90 92 126 128 198 200 228 230 258 260
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: 260
Found by: Theadalus
db: batch=73, k=14, 34 52 34 70 28 28

SPT(16)	820185369083070553	0 36 40 54 58 70 138 148 156 166 234 246 250 264 268 304	-1122298866898
SPT(16)	820185607537237709	0 32 42 54 62 102 104 144 218 258 260 300 308 320 330 362	-883844699742
SPT(16)	820185707911129303	0 6 64 78 84 118 148 150 154 156 186 220 226 240 298 304	-783470808148
STPT(10)	820185865087287227	0 2 42 44 72 74 102 104 144 146	-626294650224
SPT(16)	820185895313519263	0 6 18 90 124 148 154 204 250 300 306 330 364 436 448 454	-596068418188
STPT(10)	820185934815705551	0 2 36 38 78 80 120 122 156 158	-556566231900
TPT(14)	820186816488634961	0 2 18 20 36 38 90 92 120 122 156 158 210 212	325106697510
SPT(16)	820186942242038353	0 24 30 90 118 124 160 178 240 258 294 300 328 388 394 418	450860100902
SPT(16)	820186953671587751	0 6 42 72 86 110 120 132 140 152 162 186 200 230 266 272	462289650300
SPT(16)	820187693455185221	0 6 20 26 62 108 138 192 206 260 290 336 372 378 392 398	1202073247770
TPT(14)	820187852036855189	0 2 42 44 138 140 180 182 198 200 240 242 252 254	1360654917738