Prime p₀= 2975605157131223861 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 298 2 34 2 202 2 4 2 10 2 (?)
a_n: 0 2 60 62 360 362 396 398 600 602 606 608 618 620
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: 620
Found by: [SG-FC] hl
db: batch=82, k=14, 58 298 34 202 4 10

TPT(14)	2975604058985478311	0 2 30 32 96 98 108 110 156 158 180 182 198 200	-1098145745550
SPT(16)	2975604148442594891	0 60 80 102 132 140 182 200 258 276 318 326 356 378 398 458	-1008688628970
SPT(16)	2975604795744006527	0 2 14 30 56 66 80 96 110 126 140 150 176 192 204 206	-361387217334
SPT(16)	2975604874783544413	0 16 78 100 120 138 168 180 226 238 268 286 306 328 390 406	-282347679448
SPT(16)	2975605006532532191	0 68 108 122 138 156 182 210 278 306 332 350 366 380 420 488	-150598691670
SPT(16)	2975605127179382969	0 38 68 78 90 98 102 120 122 140 144 152 164 174 204 242	-29951840892
SPT(16)	2975605254512161339	0 18 70 132 144 160 168 180 202 214 222 238 250 312 364 382	97380937478
STPT(10)	2975605261676563301	0 2 30 32 78 80 126 128 156 158	104545339440
STPT(10)	2975605727094071177	0 2 30 32 42 44 54 56 84 86	569962847316
TPT(14)	2975605904994654161	0 2 66 68 126 128 138 140 156 158 168 170 228 230	747863430300
STPT(12)	2975605904994654227	0 2 60 62 72 74 90 92 102 104 162 164	747863430366