Prime p₀= 902527026196051127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 16 2 40 2 34 2 40 2 (?)
a_n: 0 2 42 44 84 86 102 104 144 146 180 182 222 224
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: 224
Found by: Theadalus
db: batch=76, k=14, 40 40 16 40 34 40

SPT(20)	902526195465774883	0 6 76 120 154 190 204 246 268 274 300 306 328 370 384 420 454 498 568 574	-830730276244
STPT(10)	902526379698246227	0 2 12 14 42 44 72 74 84 86	-646497804900
TPT(14)	902526388173664997	0 2 30 32 42 44 84 86 210 212 222 224 264 266	-638022386130
STPT(10)	902526397814080967	0 2 54 56 72 74 90 92 144 146	-628381970160
SPT(16)	902526454274834491	0 18 46 70 82 88 90 138 190 238 240 246 258 282 310 328	-571921216636
STPT(10)	902526818365201829	0 2 48 50 60 62 72 74 120 122	-207830849298
SPT(16)	902527174177245373	0 40 60 78 84 120 124 154 180 210 214 250 256 274 294 334	147981194246
SPT(16)	902527379758097983	0 16 40 70 96 130 148 154 180 186 204 238 264 294 318 334	353562046856
SPT(16)	902527532872234943	0 14 18 20 44 50 56 78 86 108 114 120 144 146 150 164	506676183816
STPT(10)	902527854183919277	0 2 30 32 42 44 54 56 84 86	827987868150
SPT(16)	902528173469902883	0 18 68 74 144 150 158 168 236 246 254 260 330 336 386 404	1147273851756