Prime p₀= 1017837814054397849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: stoneageman
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1017836989545868909	0 18 28 40 60 70 88 102 208 222 240 250 270 282 292 310	-824508528940
STPT(12)	1017837093252574811	0 2 30 32 60 62 108 110 138 140 168 170	-720801823038
SPT(16)	1017837420399259717	0 46 60 66 70 82 90 112 144 166 174 186 190 196 210 256	-393655138132
STPT(10)	1017837538577716469	0 2 18 20 30 32 42 44 60 62	-275476681380
SPT(16)	1017837762048598423	0 18 48 84 106 108 130 160 204 234 256 258 280 316 346 364	-52005799426
SPT(16)	1017837802654232867	0 14 30 62 84 110 140 150 296 306 336 362 384 416 432 446	-11400164982
SPT(16)	1017837928740663691	0 6 12 48 58 70 78 112 126 160 168 180 190 226 232 238	114686265842
STPT(10)	1017837963319310891	0 2 6 8 18 20 30 32 36 38	149264913042
STPT(10)	1017838576488586997	0 2 42 44 72 74 102 104 144 146	762434189148
SPT(16)	1017838871597861407	0 6 24 70 72 76 90 106 120 136 150 154 156 202 220 226	1057543463558
STPT(10)	1017839757601708577	0 2 30 32 42 44 54 56 84 86	1943547310728