Prime p₀= 2029873857679277219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 64 2 10 2 70 2 88 2 4 2 (?)
a_n: 0 2 42 44 108 110 120 122 192 194 282 284 288 290
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: 290
Found by: Dirk Broer
db: batch=80, k=14, 40 64 10 70 88 4

SPT(16)	2029873001409244247	0 12 50 54 60 72 86 144 152 210 224 236 242 246 284 296	-856270032972
STPT(10)	2029873137884810747	0 2 12 14 42 44 72 74 84 86	-719794466472
STPT(10)	2029873176888923417	0 2 30 32 102 104 174 176 204 206	-680790353802
STPT(10)	2029873213797254009	0 2 30 32 60 62 90 92 120 122	-643882023210
SPT(16)	2029873557711589043	0 18 20 44 54 56 60 86 168 194 198 200 210 234 236 254	-299967688176
SPT(16)	2029873700822601737	0 6 26 32 56 140 180 182 360 362 402 486 510 516 536 542	-156856675482
STPT(10)	2029874002886901497	0 2 60 62 72 74 84 86 144 146	145207624278
SPT(16)	2029874133850304171	0 26 50 56 78 86 110 128 138 156 180 188 210 216 240 266	276171026952
SPT(16)	2029874772426840433	0 54 70 124 150 168 196 198 286 288 316 334 360 414 430 484	914747563214
STPT(10)	2029874859501900767	0 2 30 32 72 74 114 116 144 146	1001822623548
STPT(12)	2029875061722799259	0 2 12 14 42 44 48 50 78 80 90 92	1204043522040