Prime p₀= 31336595963846531 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 40 2 16 2 58 2 10 2 (?)
a_n: 0 2 66 68 78 80 120 122 138 140 198 200 210 212
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: 212
Found by: stoneageman
db: batch=65, k=14, 64 10 40 16 58 10

SPT(16)	31336546894732529	0 14 20 32 72 90 134 164 168 198 242 260 300 312 318 332	-49069114002
SPT(14)	31336547116236667	0 4 30 60 64 120 132 142 154 210 214 244 270 274	-48847609864
SPT(14)	31336551826695499	0 4 30 48 54 60 70 72 82 88 94 112 138 142	-44137151032
TPT(12)	31336552822023257	0 2 30 32 54 56 72 74 90 92 144 146	-43141823274
SPT(14)	31336553327284241	0 32 38 92 102 108 110 168 170 176 186 240 246 278	-42636562290
SPT(14)	31336595423560117	0 4 6 36 82 96 106 150 160 174 220 250 252 256	-540286414
SPT(14)	31336598399302291	0 16 42 90 132 166 186 196 216 250 292 340 366 382	2435455760
SPT(14)	31336609809753463	0 4 10 18 24 48 54 124 130 154 160 168 174 178	13845906932
SPT(14)	31336610183733097	0 34 52 60 66 106 112 144 150 190 196 204 222 256	14219886566
TPT(12)	31336631646595487	0 2 42 44 90 92 174 176 210 212 240 242	35682748956
SPT(14)	31336632445079783	0 24 30 78 84 98 126 128 156 170 176 224 230 254	36481233252