Prime p₀= 1199656900790541239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 64 2 28 2 28 2 28 2 (?)
a_n: 0 2 48 50 72 74 138 140 168 170 198 200 228 230
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: 230
Found by: xii5ku
db: batch=77, k=14, 46 22 64 28 28 28

SPT(18)	1199655744799298113	0 4 18 66 130 144 174 186 196 228 238 250 280 294 358 406 420 424	-1155991243126
SPT(16)	1199655872243467007	0 20 56 66 80 84 116 122 144 150 182 186 200 210 246 266	-1028547074232
SPT(16)	1199656582625708639	0 12 42 54 60 78 84 90 152 158 164 182 188 200 230 242	-318164832600
STPT(10)	1199656745107723961	0 2 36 38 78 80 120 122 156 158	-155682817278
SPT(16)	1199656774697051051	0 12 30 108 120 138 248 266 372 390 500 518 530 608 626 638	-126093490188
SPT(16)	1199656863514325309	0 20 104 134 140 168 174 198 230 254 260 288 294 324 408 428	-37276215930
SPT(16)	1199656978586710949	0 18 30 68 84 114 210 224 354 368 464 494 510 548 560 578	77796169710
TPT(14)	1199657311811998889	0 2 48 50 78 80 222 224 258 260 288 290 330 332	411021457650
SPT(16)	1199657628263241989	0 18 80 90 102 128 158 210 230 282 312 338 350 360 422 440	727472700750
SPT(16)	1199657920100701991	0 2 30 48 68 96 98 132 146 180 182 210 230 248 276 278	1019310160752
STPT(10)	1199657930389216721	0 2 90 92 150 152 210 212 300 302	1029598675482