Prime p₀= 1258073995753136447 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 88 2 28 2 46 2 16 2 (?)
a_n: 0 2 30 32 54 56 144 146 174 176 222 224 240 242
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: 242
Found by: HenkM
db: batch=77, k=14, 28 22 88 28 46 16

STPT(10)	1258073510006114027	0 2 30 32 72 74 114 116 144 146	-485747022420
SPT(16)	1258073602147224649	0 30 40 70 90 112 114 132 202 220 222 244 264 294 304 334	-393605911798
TPT(14)	1258073615593652939	0 2 30 32 42 44 90 92 132 134 168 170 198 200	-380159483508
TPT(14)	1258073726603015051	0 2 168 170 240 242 246 248 378 380 408 410 426 428	-269150121396
STPT(10)	1258073904137573189	0 2 18 20 30 32 42 44 60 62	-91615563258
SPT(16)	1258073940405349351	0 22 30 58 76 82 142 160 168 186 246 252 270 298 306 328	-55347787096
TPT(14)	1258074211323926417	0 2 12 14 120 122 150 152 180 182 210 212 222 224	215570789970
SPT(16)	1258074244292127673	0 28 34 36 90 130 180 204 220 244 294 334 388 390 396 424	248538991226
SPT(20)	1258074544793746499	0 14 44 78 114 138 144 152 158 162 200 204 210 218 224 248 284 318 348 362	549040610052
STPT(10)	1258074669895714787	0 2 30 32 42 44 54 56 84 86	674142578340
SPT(16)	1258074934682123891	0 20 50 90 128 138 156 158 240 242 260 270 308 348 378 398	938928987444