Prime p₀= 4343467824126898897 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 66 34 12 20 18 34 48 54 74 54 48 34 18 20 12 34 66 (?)
a_n: 0 66 100 112 132 150 184 232 286 360 414 462 496 514 534 546 580 646
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 646
Found by: JonS
db: batch=85, k=18, 66 34 12 20 18 34 48 54 74

SPT(16)	4343466751201621903	0 6 10 16 46 58 88 100 144 156 186 198 228 234 238 244	-1072925276994
SPT(16)	4343466975109393757	0 2 14 20 42 86 104 110 126 132 150 194 216 222 234 236	-849017505140
STPT(14)	4343466988745509439	0 2 12 14 42 44 90 92 138 140 168 170 180 182	-835381389458
TPT(14)	4343466988745509439	0 2 12 14 42 44 90 92 138 140 168 170 180 182	-835381389458
STPT(10)	4343467580206439561	0 2 30 32 60 62 90 92 120 122	-243920459336
SPT(16)	4343467681005245491	0 52 66 88 100 102 112 130 138 156 166 168 180 202 216 268	-143121653406
STPT(10)	4343468034246346307	0 2 30 32 42 44 54 56 84 86	210119447410
STPT(10)	4343468096886415967	0 2 30 32 42 44 54 56 84 86	272759517070
SPT(16)	4343468301896632123	0 10 28 48 88 120 154 168 196 210 244 276 316 336 354 364	477769733226
STPT(10)	4343468871798713981	0 2 36 38 78 80 120 122 156 158	1047671815084
SPT(16)	4343468873314792411	0 16 42 58 60 66 106 112 186 192 232 238 240 256 282 298	1049187893514