Prime p₀= 1028981401418953469 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 64 2 10 2 16 2 40 2 (?)
a_n: 0 2 12 14 102 104 168 170 180 182 198 200 240 242
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: stoneageman
db: batch=76, k=14, 10 88 64 10 16 40

SPT(16)	1028979467265252157	0 30 96 114 120 132 154 166 240 252 274 286 292 310 376 406	-1934153701312
STPT(10)	1028979910991328419	0 2 12 14 30 32 48 50 60 62	-1490427625050
STPT(10)	1028979943921274669	0 2 42 44 60 62 78 80 120 122	-1457497678800
SPT(16)	1028980203407061371	0 12 68 90 126 140 146 180 188 222 228 242 278 300 356 368	-1198011892098
SPT(16)	1028980624639012433	0 20 26 44 48 56 66 90 104 128 138 146 150 168 174 194	-776779941036
SPT(16)	1028980833873935219	0 12 14 18 30 54 72 92 120 140 158 182 194 198 200 212	-567545018250
SPT(20)	1028981495915683993	0 30 106 124 166 174 190 210 216 226 228 238 244 264 280 288 330 348 424 454	94496730524
STPT(10)	1028981594526686807	0 2 30 32 42 44 54 56 84 86	193107733338
SPT(16)	1028981853641338393	0 34 90 96 114 124 144 154 156 166 186 196 214 220 276 310	452222384924
STPT(10)	1028981902327941827	0 2 42 44 72 74 102 104 144 146	500908988358
STPT(10)	1028982160447302167	0 2 30 32 42 44 54 56 84 86	759028348698